3061408900 has 81 divisors (see below), whose sum is σ = 7316638693. Its totient is φ = 1111026400.

The previous prime is 3061408853. The next prime is 3061408913. The reversal of 3061408900 is 98041603.

The square root of 3061408900 is 55330.

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., 1102107204 + 1959301696 = 33198^2 + 44264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6086049 + ... + 6086551.

Almost surely, 2^3061408900 is an apocalyptic number.

3061408900 is the 55330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3061408900

3061408900 is an abundant number, since it is smaller than the sum of its proper divisors (4255229793).

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

3061408900 is a wasteful number, since it uses less digits than its factorization.

3061408900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 3061408900 is about 1452.0239512425.

Multiplying 3061408900 by its product of nonzero digits (5184), we get a square (15870343737600 = 3983760²).

The spelling of 3061408900 in words is "three billion, sixty-one million, four hundred eight thousand, nine hundred".