3409625664 has 105 divisors (see below), whose sum is σ = 10119676611. Its totient is φ = 1135140480.

The previous prime is 3409625657. The next prime is 3409625693. The reversal of 3409625664 is 4665269043.

The square root of 3409625664 is 58392.

It is a perfect power (a square), and thus also a powerful 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 14 ways as a sum of consecutive naturals, for example, 4203819 + ... + 4204629.

Almost surely, 2^3409625664 is an apocalyptic number.

3409625664 is the 58392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3409625664

3409625664 is an abundant number, since it is smaller than the sum of its proper divisors (6710050947).

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

3409625664 is an frugal number, since it uses more digits than its factorization.

3409625664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The cubic root of 3409625664 is about 1505.1122845700.

The spelling of 3409625664 in words is "three billion, four hundred nine million, six hundred twenty-five thousand, six hundred sixty-four".