3407056900 has 81 divisors (see below), whose sum is σ = 8023647261. Its totient is φ = 1255188480.

The previous prime is 3407056897. The next prime is 3407056943. The reversal of 3407056900 is 96507043.

The square root of 3407056900 is 58370.

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

It can be written as a sum of positive squares in 13 ways, for example, as 2973084676 + 433972224 = 54526^2 + 20832^2 .

It is a super-2 number, since 2×3407056900² = 23216073439675220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7587876 + ... + 7588324.

Almost surely, 2^3407056900 is an apocalyptic number.

3407056900 is the 58370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407056900

3407056900 is an abundant number, since it is smaller than the sum of its proper divisors (4616590361).

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

3407056900 is a wasteful number, since it uses less digits than its factorization.

3407056900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The cubic root of 3407056900 is about 1504.7342128036.

The spelling of 3407056900 in words is "three billion, four hundred seven million, fifty-six thousand, nine hundred".