344414464 has 36 divisors (see below), whose sum is σ = 709676800. Its totient is φ = 166648320.

The previous prime is 344414461. The next prime is 344414467. The reversal of 344414464 is 464414443.

It is an interprime number because it is at equal distance from previous prime (344414461) and next prime (344414467).

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 (344414461) 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, 13764 + ... + 29635.

Almost surely, 2^344414464 is an apocalyptic number.

It is an amenable number.

344414464 is an abundant number, since it is smaller than the sum of its proper divisors (365262336).

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

344414464 is an equidigital number, since it uses as much as digits as its factorization.

344414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43446 (or 43432 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The square root of 344414464 is about 18558.4068281736. The cubic root of 344414464 is about 700.9609007614.

The spelling of 344414464 in words is "three hundred forty-four million, four hundred fourteen thousand, four hundred sixty-four".