3955707298816 has 297 divisors, whose sum is σ = 9975197959461. Its totient is φ = 1562603986944.

The previous prime is 3955707298799. The next prime is 3955707298877. The reversal of 3955707298816 is 6188927075593.

The square root of 3955707298816 is 1988896.

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

It can be written as a sum of positive squares in only one way, i.e., 585163801600 + 3370543497216 = 764960^2 + 1835904^2 .

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 26 ways as a sum of consecutive naturals, for example, 5791664811 + ... + 5791665493.

Almost surely, 2^{3955707298816} is an apocalyptic number.

3955707298816 is the 1988896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3955707298816

3955707298816 is an abundant number, since it is smaller than the sum of its proper divisors (6019490660645).

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

3955707298816 is an frugal number, since it uses more digits than its factorization.

3955707298816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 70.

The spelling of 3955707298816 in words is "three trillion, nine hundred fifty-five billion, seven hundred seven million, two hundred ninety-eight thousand, eight hundred sixteen".