344539872 has 96 divisors (see below), whose sum is σ = 1009078560. Its totient is φ = 114370560.

The previous prime is 344539849. The next prime is 344539873. The reversal of 344539872 is 278935443.

344539872 is a `hidden beast` number, since 3 + 44 + 539 + 8 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344539873) 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, 252472 + ... + 253832.

It is an arithmetic number, because the mean of its divisors is an integer number (10511235).

Almost surely, 2^344539872 is an apocalyptic number.

344539872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344539872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504539280).

344539872 is an abundant number, since it is smaller than the sum of its proper divisors (664538688).

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

344539872 is a wasteful number, since it uses less digits than its factorization.

344539872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1659 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 344539872 is about 18561.7852589669. The cubic root of 344539872 is about 701.0459682663.

The spelling of 344539872 in words is "three hundred forty-four million, five hundred thirty-nine thousand, eight hundred seventy-two".