344772864 has 108 divisors (see below), whose sum is σ = 1001658112. Its totient is φ = 114048000.

The previous prime is 344772863. The next prime is 344772877. The reversal of 344772864 is 468277443.

It is not an unprimeable number, because it can be changed into a prime (344772863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 347409 + ... + 348399.

Almost surely, 2^344772864 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 344772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500829056).

344772864 is an abundant number, since it is smaller than the sum of its proper divisors (656885248).

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

344772864 is a wasteful number, since it uses less digits than its factorization.

344772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1147 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 344772864 is about 18568.0603187301. The cubic root of 344772864 is about 701.2039580092.

The spelling of 344772864 in words is "three hundred forty-four million, seven hundred seventy-two thousand, eight hundred sixty-four".