3983302656 has 392 divisors, whose sum is σ = 12892765680. Its totient is φ = 1226244096.

The previous prime is 3983302639. The next prime is 3983302663. The reversal of 3983302656 is 6562033893.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 137355250 + ... + 137355278.

Almost surely, 2^3983302656 is an apocalyptic number.

3983302656 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 3983302656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446382840).

3983302656 is an abundant number, since it is smaller than the sum of its proper divisors (8909463024).

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

3983302656 is an frugal number, since it uses more digits than its factorization.

3983302656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3983302656 is about 63113.4110629429. The cubic root of 3983302656 is about 1585.1891896359.

The spelling of 3983302656 in words is "three billion, nine hundred eighty-three million, three hundred two thousand, six hundred fifty-six".