3935164875625 has 15 divisors (see below), whose sum is σ = 4917444000931. Its totient is φ = 3148092226000.

The previous prime is 3935164875623. The next prime is 3935164875683. The reversal of 3935164875625 is 5265784615393.

The square root of 3935164875625 is 1983725.

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

It can be written as a sum of positive squares in 7 ways, for example, as 3880691182809 + 54473692816 = 1969947^2 + 233396^2 .

It is not a de Polignac number, because 3935164875625 - 2¹ = 3935164875623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3935164875623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 49553451 + ... + 49632799.

Almost surely, 2^{3935164875625} is an apocalyptic number.

3935164875625 is the 1983725-th square number.

3935164875625 is the 991863-rd centered octagonal number.

It is an amenable number.

3935164875625 is a deficient number, since it is larger than the sum of its proper divisors (982279125306).

3935164875625 is an frugal number, since it uses more digits than its factorization.

3935164875625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158718 (or 79354 counting only the distinct ones).

The product of its digits is 163296000, while the sum is 64.

Multiplying 3935164875625 by its sum of digits (64), we get a square (251850552040000 = 15869800²).

The spelling of 3935164875625 in words is "three trillion, nine hundred thirty-five billion, one hundred sixty-four million, eight hundred seventy-five thousand, six hundred twenty-five".