3977902656 has 448 divisors, whose sum is σ = 14767925760. Its totient is φ = 1021870080.

The previous prime is 3977902637. The next prime is 3977902667. The reversal of 3977902656 is 6562097793.

3977902656 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3977902656² = 31647419081223708672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6446860 + ... + 6447476.

It is an arithmetic number, because the mean of its divisors is an integer number (32964120).

Almost surely, 2^3977902656 is an apocalyptic number.

3977902656 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 3977902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383962880).

3977902656 is an abundant number, since it is smaller than the sum of its proper divisors (10790023104).

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

3977902656 is a wasteful number, since it uses less digits than its factorization.

3977902656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 3977902656 is about 63070.6164231808. The cubic root of 3977902656 is about 1584.4725403763.

The spelling of 3977902656 in words is "three billion, nine hundred seventy-seven million, nine hundred two thousand, six hundred fifty-six".