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3978050688 = 27327943711
BaseRepresentation
bin1110110100011100…
…0011110010000000
3101021020101220122200
43231013003302000
531121340110223
61454423233200
7200402605263
oct35507036200
911236356580
103978050688
1117615623a7
129302a8800
134b5207c61
1429a47ccda
1518438ba43
hexed1c3c80

3978050688 has 96 divisors (see below), whose sum is σ = 11592422400. Its totient is φ = 1309201920.

The previous prime is 3978050683. The next prime is 3978050717. The reversal of 3978050688 is 8860508793.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (3978050683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69153 + ... + 112863.

It is an arithmetic number, because the mean of its divisors is an integer number (120754400).

Almost surely, 23978050688 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 3978050688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796211200).

3978050688 is an abundant number, since it is smaller than the sum of its proper divisors (7614371712).

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

3978050688 is a wasteful number, since it uses less digits than its factorization.

3978050688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43810 (or 43795 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3978050688 is about 63071.7899539881. The cubic root of 3978050688 is about 1584.4921947646.

The spelling of 3978050688 in words is "three billion, nine hundred seventy-eight million, fifty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 5056 5688 7584 10112 11376 15168 22752 30336 43711 45504 87422 91008 131133 174844 262266 349688 393399 524532 699376 786798 1049064 1398752 1573596 2098128 2797504 3147192 3453169 4196256 5595008 6294384 6906338 8392512 10359507 12588768 13812676 16785024 20719014 25177536 27625352 31078521 41438028 50355072 55250704 62157042 82876056 110501408 124314084 165752112 221002816 248628168 331504224 442005632 497256336 663008448 994512672 1326016896 1989025344 3978050688