3402414464 has 32 divisors (see below), whose sum is σ = 6854430600. Its totient is φ = 1682086912.

The previous prime is 3402414427. The next prime is 3402414467. The reversal of 3402414464 is 4644142043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3402414464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402414467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 137942 + ... + 160725.

Almost surely, 2^3402414464 is an apocalyptic number.

It is an amenable number.

3402414464 is an abundant number, since it is smaller than the sum of its proper divisors (3452016136).

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

3402414464 is an equidigital number, since it uses as much as digits as its factorization.

3402414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298770 (or 298758 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

The square root of 3402414464 is about 58330.2191321102. The cubic root of 3402414464 is about 1504.0504547733.

The spelling of 3402414464 in words is "three billion, four hundred two million, four hundred fourteen thousand, four hundred sixty-four".