344859920 has 40 divisors (see below), whose sum is σ = 806935704. Its totient is φ = 137060352.

The previous prime is 344859919. The next prime is 344859971. The reversal of 344859920 is 29958443.

It can be written as a sum of positive squares in 4 ways, for example, as 1721344 + 343138576 = 1312^2 + 18524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1169 + ... + 26288.

Almost surely, 2^344859920 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 344859920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403467852).

344859920 is an abundant number, since it is smaller than the sum of its proper divisors (462075784).

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

344859920 is a wasteful number, since it uses less digits than its factorization.

344859920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27627 (or 27621 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 344859920 is about 18570.4044113207. The cubic root of 344859920 is about 701.2629716198.

The spelling of 344859920 in words is "three hundred forty-four million, eight hundred fifty-nine thousand, nine hundred twenty".