3990973098564 has 81 divisors (see below), whose sum is σ = 10138871409303. Its totient is φ = 1323687867264.

The previous prime is 3990973098559. The next prime is 3990973098577. The reversal of 3990973098564 is 4658903790993.

The square root of 3990973098564 is 1997742.

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

3990973098564 is a `hidden beast` number, since 399 + 0 + 97 + 3 + 0 + 98 + 5 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2215662020100 + 1775311078464 = 1488510^2 + 1332408^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3990973098492 and 3990973098501.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2792842602 + ... + 2792844030.

Almost surely, 2^{3990973098564} is an apocalyptic number.

3990973098564 is the 1997742-nd square number.

It is an amenable number.

3990973098564 is an abundant number, since it is smaller than the sum of its proper divisors (6147898310739).

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

3990973098564 is an equidigital number, since it uses as much as digits as its factorization.

3990973098564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 3990973098564 in words is "three trillion, nine hundred ninety billion, nine hundred seventy-three million, ninety-eight thousand, five hundred sixty-four".