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3684426876 = 223213191313163
BaseRepresentation
bin1101101110011011…
…1110010001111100
3100111202220021111200
43123212332101330
530021203130001
61405334015500
7160206053214
oct33346762174
910452807450
103684426876
111620843499
12869aa7590
13469430460
1426d489244
151686dc086
hexdb9be47c

3684426876 has 144 divisors (see below), whose sum is σ = 10641671040. Its totient is φ = 1065467520.

The previous prime is 3684426839. The next prime is 3684426919. The reversal of 3684426876 is 6786244863.

It is a super-2 number, since 2×36844268762 = 27150002809182238752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1163271 + ... + 1166433.

Almost surely, 23684426876 is an apocalyptic number.

3684426876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3684426876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320835520).

3684426876 is an abundant number, since it is smaller than the sum of its proper divisors (6957244164).

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

3684426876 is a wasteful number, since it uses less digits than its factorization.

3684426876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3331 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3684426876 is about 60699.4800307218. The cubic root of 3684426876 is about 1544.5073541620.

It can be divided in two parts, 368 and 4426876, that added together give a palindrome (4427244).

The spelling of 3684426876 in words is "three billion, six hundred eighty-four million, four hundred twenty-six thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 131 156 171 228 234 247 262 342 393 468 494 524 684 741 786 988 1179 1482 1572 1703 2223 2358 2489 2964 3163 3406 4446 4716 4978 5109 6326 6812 7467 8892 9489 9956 10218 12652 14934 15327 18978 20436 22401 28467 29868 30654 32357 37956 41119 44802 56934 60097 61308 64714 82238 89604 97071 113868 120194 123357 129428 164476 180291 194142 240388 246714 291213 360582 370071 388284 414353 493428 540873 582426 721164 740142 781261 828706 1081746 1164852 1243059 1480284 1562522 1657412 2163492 2343783 2486118 3125044 3729177 4687566 4972236 5386589 7031349 7458354 7872707 9375132 10773178 14062698 14916708 15745414 16159767 21546356 23618121 28125396 31490828 32319534 47236242 48479301 64639068 70854363 94472484 96958602 102345191 141708726 193917204 204690382 283417452 307035573 409380764 614071146 921106719 1228142292 1842213438 3684426876