3402315664 has 80 divisors (see below), whose sum is σ = 7528339584. Its totient is φ = 1474457600.

The previous prime is 3402315647. The next prime is 3402315667. The reversal of 3402315664 is 4665132043.

3402315664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3402315667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1427754 + ... + 1430134.

Almost surely, 2^3402315664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402315664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764169792).

3402315664 is an abundant number, since it is smaller than the sum of its proper divisors (4126023920).

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

3402315664 is a wasteful number, since it uses less digits than its factorization.

3402315664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 3402315664 is about 58329.3722236062. The cubic root of 3402315664 is about 1504.0358963252.

The spelling of 3402315664 in words is "three billion, four hundred two million, three hundred fifteen thousand, six hundred sixty-four".