3961990656 has 360 divisors, whose sum is σ = 13185692520. Its totient is φ = 1135337472.

The previous prime is 3961990577. The next prime is 3961990693. The reversal of 3961990656 is 6560991693.

It is a happy number.

3961990656 is a `hidden beast` number, since 396 + 199 + 0 + 65 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67152355 + ... + 67152413.

Almost surely, 2^3961990656 is an apocalyptic number.

3961990656 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 3961990656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592846260).

3961990656 is an abundant number, since it is smaller than the sum of its proper divisors (9223701864).

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

3961990656 is a wasteful number, since it uses less digits than its factorization.

3961990656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 3961990656 is about 62944.3457031686. The cubic root of 3961990656 is about 1582.3570353692.

The spelling of 3961990656 in words is "three billion, nine hundred sixty-one million, nine hundred ninety thousand, six hundred fifty-six".