3404955904 has 81 divisors (see below), whose sum is σ = 7921466301. Its totient is φ = 1456465920.

The previous prime is 3404955893. The next prime is 3404955913. The reversal of 3404955904 is 4095594043.

The square root of 3404955904 is 58352.

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., 976437504 + 2428518400 = 31248^2 + 49280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6535164 + ... + 6535684.

Almost surely, 2^3404955904 is an apocalyptic number.

3404955904 is the 58352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3404955904

3404955904 is an abundant number, since it is smaller than the sum of its proper divisors (4516510397).

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

3404955904 is an frugal number, since it uses more digits than its factorization.

3404955904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 43.

The cubic root of 3404955904 is about 1504.4248460273.

The spelling of 3404955904 in words is "three billion, four hundred four million, nine hundred fifty-five thousand, nine hundred four".