3982674800896 has 729 divisors, whose sum is σ = 10049725577983. Its totient is φ = 1573541150720.

The previous prime is 3982674800861. The next prime is 3982674800903. The reversal of 3982674800896 is 6980084762893.

The square root of 3982674800896 is 1995664.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 393680953600 + 3588993847296 = 627440^2 + 1894464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 137333613810 + ... + 137333613838.

Almost surely, 2^{3982674800896} is an apocalyptic number.

3982674800896 is the 1995664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982674800896

3982674800896 is an abundant number, since it is smaller than the sum of its proper divisors (6067050777087).

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

3982674800896 is a wasteful number, since it uses less digits than its factorization.

3982674800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 70.

The spelling of 3982674800896 in words is "three trillion, nine hundred eighty-two billion, six hundred seventy-four million, eight hundred thousand, eight hundred ninety-six".