3958707122500 has 135 divisors (see below), whose sum is σ = 9377103852963. Its totient is φ = 1461198960000.

The previous prime is 3958707122477. The next prime is 3958707122509. The reversal of 3958707122500 is 52217078593.

The square root of 3958707122500 is 1989650.

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

3958707122500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 3914121955396 + 44585167104 = 1978414^2 + 211152^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3958707122509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1293270970 + ... + 1293274030.

Almost surely, 2^{3958707122500} is an apocalyptic number.

3958707122500 is the 1989650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3958707122500

3958707122500 is an abundant number, since it is smaller than the sum of its proper divisors (5418396730463).

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

3958707122500 is an frugal number, since it uses more digits than its factorization.

3958707122500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 49.

Multiplying 3958707122500 by its sum of digits (49), we get a square (193976649002500 = 13927550²).

The spelling of 3958707122500 in words is "three trillion, nine hundred fifty-eight billion, seven hundred seven million, one hundred twenty-two thousand, five hundred".