3291890625 has 147 divisors (see below), whose sum is σ = 6553646581. Its totient is φ = 1652400000.

The previous prime is 3291890599. The next prime is 3291890633. The reversal of 3291890625 is 5260981923.

The square root of 3291890625 is 57375.

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

3291890625 is a `hidden beast` number, since 3 + 2 + 9 + 18 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 3236358321 + 55532304 = 56889^2 + 7452^2 .

It is not a de Polignac number, because 3291890625 - 2⁹ = 3291890113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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 146 ways as a sum of consecutive naturals, for example, 193640617 + ... + 193640633.

Almost surely, 2^3291890625 is an apocalyptic number.

3291890625 is the 57375-th square number.

3291890625 is the 28688-th centered octagonal number.

It is an amenable number.

3291890625 is a deficient number, since it is larger than the sum of its proper divisors (3261755956).

3291890625 is an frugal number, since it uses more digits than its factorization.

3291890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The cubic root of 3291890625 is about 1487.5850291530.

The spelling of 3291890625 in words is "three billion, two hundred ninety-one million, eight hundred ninety thousand, six hundred twenty-five".