3704115953664 has 513 divisors, whose sum is σ = 12517751107407. Its totient is φ = 1052406448128.

The previous prime is 3704115953633. The next prime is 3704115953689. The reversal of 3704115953664 is 4663595114073.

The square root of 3704115953664 is 1924608.

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

3704115953664 is a `hidden beast` number, since 3 + 7 + 0 + 4 + 11 + 595 + 36 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3704115953664.

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, 20693385127 + ... + 20693385305.

Almost surely, 2^{3704115953664} is an apocalyptic number.

3704115953664 is the 1924608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3704115953664

3704115953664 is an abundant number, since it is smaller than the sum of its proper divisors (8813635153743).

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

3704115953664 is an frugal number, since it uses more digits than its factorization.

3704115953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3704115953664 in words is "three trillion, seven hundred four billion, one hundred fifteen million, nine hundred fifty-three thousand, six hundred sixty-four".