346974624 has 96 divisors (see below), whose sum is σ = 1071584640. Its totient is φ = 108850176.

The previous prime is 346974613. The next prime is 346974629. The reversal of 346974624 is 426479643.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 346974624.

It is not an unprimeable number, because it can be changed into a prime (346974629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2877 + ... + 26499.

It is an arithmetic number, because the mean of its divisors is an integer number (11162340).

Almost surely, 2^346974624 is an apocalyptic number.

346974624 is a gapful number since it is divisible by the number (34) 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 346974624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535792320).

346974624 is an abundant number, since it is smaller than the sum of its proper divisors (724610016).

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

346974624 is a wasteful number, since it uses less digits than its factorization.

346974624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23659 (or 23645 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 346974624 is about 18627.2548702164. The cubic root of 346974624 is about 702.6934487490.

The spelling of 346974624 in words is "three hundred forty-six million, nine hundred seventy-four thousand, six hundred twenty-four".