3981974256 has 200 divisors, whose sum is σ = 12515976704. Its totient is φ = 1214922240.

The previous prime is 3981974233. The next prime is 3981974317. The reversal of 3981974256 is 6524791893.

3981974256 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 super-2 number, since 2×3981974256² = 31712237950893507072, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2138766 + ... + 2140626.

Almost surely, 2^3981974256 is an apocalyptic number.

3981974256 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 3981974256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6257988352).

3981974256 is an abundant number, since it is smaller than the sum of its proper divisors (8534002448).

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

3981974256 is a wasteful number, since it uses less digits than its factorization.

3981974256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2006 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 3981974256 is about 63102.8862731333. The cubic root of 3981974256 is about 1585.0129540151.

The spelling of 3981974256 in words is "three billion, nine hundred eighty-one million, nine hundred seventy-four thousand, two hundred fifty-six".