3981517056 has 216 divisors, whose sum is σ = 12632116224. Its totient is φ = 1196052480.

The previous prime is 3981517019. The next prime is 3981517109. The reversal of 3981517056 is 6507151893.

It is a happy number.

3981517056 is a `hidden beast` number, since 3 + 9 + 81 + 517 + 0 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3218070 + ... + 3219306.

Almost surely, 2^3981517056 is an apocalyptic number.

3981517056 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 3981517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316058112).

3981517056 is an abundant number, since it is smaller than the sum of its proper divisors (8650599168).

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

3981517056 is a wasteful number, since it uses less digits than its factorization.

3981517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 3981517056 is about 63099.2635139270. The cubic root of 3981517056 is about 1584.9522893287.

The spelling of 3981517056 in words is "three billion, nine hundred eighty-one million, five hundred seventeen thousand, fifty-six".