3982612656 has 320 divisors, whose sum is σ = 12342067200. Its totient is φ = 1094016000.

The previous prime is 3982612643. The next prime is 3982612681. The reversal of 3982612656 is 6562162893.

3982612656 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 2×3982612656² = 31722407135462748672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 26728870 + ... + 26729018.

It is an arithmetic number, because the mean of its divisors is an integer number (38568960).

Almost surely, 2^3982612656 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 3982612656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171033600).

3982612656 is an abundant number, since it is smaller than the sum of its proper divisors (8359454544).

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

3982612656 is a wasteful number, since it uses less digits than its factorization.

3982612656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 3982612656 is about 63107.9444761117. The cubic root of 3982612656 is about 1585.0976538930.

The spelling of 3982612656 in words is "three billion, nine hundred eighty-two million, six hundred twelve thousand, six hundred fifty-six".