3375825624964 has 27 divisors (see below), whose sum is σ = 6397180208517. Its totient is φ = 1558051317264.

The previous prime is 3375825624869. The next prime is 3375825624971. The reversal of 3375825624964 is 4694265285733.

The square root of 3375825624964 is 1837342.

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., 499382488900 + 2876443136064 = 706670^2 + 1696008^2 .

It is a super-2 number, since 2×3375825624964² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3375825624896 and 3375825624905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 47735559 + ... + 47806225.

Almost surely, 2^{3375825624964} is an apocalyptic number.

3375825624964 is the 1837342-nd square number.

It is an amenable number.

3375825624964 is a deficient number, since it is larger than the sum of its proper divisors (3021354583553).

3375825624964 is an frugal number, since it uses more digits than its factorization.

3375825624964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141364 (or 70682 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 64.

Multiplying 3375825624964 by its sum of digits (64), we get a square (216052839997696 = 14698736²).

The spelling of 3375825624964 in words is "three trillion, three hundred seventy-five billion, eight hundred twenty-five million, six hundred twenty-four thousand, nine hundred sixty-four".