3208958025 has 192 divisors, whose sum is σ = 6986219520. Its totient is φ = 1262822400.

The previous prime is 3208958003. The next prime is 3208958057. The reversal of 3208958025 is 5208598023.

It is not a de Polignac number, because 3208958025 - 2⁷ = 3208957897 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6135414 + ... + 6135936.

It is an arithmetic number, because the mean of its divisors is an integer number (36386560).

Almost surely, 2^3208958025 is an apocalyptic number.

3208958025 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3208958025 is an abundant number, since it is smaller than the sum of its proper divisors (3777261495).

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

3208958025 is a wasteful number, since it uses less digits than its factorization.

3208958025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 3208958025 is about 56647.6656624084. The cubic root of 3208958025 is about 1474.9863869279.

The spelling of 3208958025 in words is "three billion, two hundred eight million, nine hundred fifty-eight thousand, twenty-five".