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3898359696 = 2437116117291
BaseRepresentation
bin1110100001011100…
…0011111110010000
3101001200110012011110
43220113003332100
530440440002241
61442455213320
7165414340110
oct35027037620
911050405143
103898359696
111720582380
12909677240
134a185541a
1428da57040
1517c399816
hexe85c3f90

3898359696 has 160 divisors (see below), whose sum is σ = 12762326016. Its totient is φ = 995904000.

The previous prime is 3898359679. The next prime is 3898359697. The reversal of 3898359696 is 6969538983.

3898359696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (3898359697) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216811 + ... + 234101.

Almost surely, 23898359696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3898359696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381163008).

3898359696 is an abundant number, since it is smaller than the sum of its proper divisors (8863966320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3898359696 is a wasteful number, since it uses less digits than its factorization.

3898359696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17381 (or 17375 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 66.

The square root of 3898359696 is about 62436.8456602350. The cubic root of 3898359696 is about 1573.8402071885.

The spelling of 3898359696 in words is "three billion, eight hundred ninety-eight million, three hundred fifty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 61 66 77 84 88 112 122 132 154 168 176 183 231 244 264 308 336 366 427 462 488 528 616 671 732 854 924 976 1232 1281 1342 1464 1708 1848 2013 2562 2684 2928 3416 3696 4026 4697 5124 5368 6832 8052 9394 10248 10736 14091 16104 17291 18788 20496 28182 32208 34582 37576 51873 56364 69164 75152 103746 112728 121037 138328 190201 207492 225456 242074 276656 363111 380402 414984 484148 570603 726222 760804 829968 968296 1054751 1141206 1331407 1452444 1521608 1936592 2109502 2282412 2662814 2904888 3043216 3164253 3994221 4219004 4564824 5325628 5809776 6328506 7383257 7988442 8438008 9129648 10651256 11602261 12657012 14766514 15976884 16876016 21302512 22149771 23204522 25314024 29533028 31953768 34806783 44299542 46409044 50628048 59066056 63907536 69613566 81215827 88599084 92818088 118132112 139227132 162431654 177198168 185636176 243647481 278454264 324863308 354396336 487294962 556908528 649726616 974589924 1299453232 1949179848 3898359696