346368960 has 560 divisors, whose sum is σ = 1487033856. Its totient is φ = 74815488.

The previous prime is 346368959. The next prime is 346368977. The reversal of 346368960 is 69863643.

346368960 is a `hidden beast` number, since 3 + 4 + 636 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4173079 + ... + 4173161.

Almost surely, 2^346368960 is an apocalyptic number.

346368960 is a gapful number since it is divisible by the number (30) 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 346368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743516928).

346368960 is an abundant number, since it is smaller than the sum of its proper divisors (1140664896).

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

346368960 is a wasteful number, since it uses less digits than its factorization.

346368960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 346368960 is about 18610.9903014321. The cubic root of 346368960 is about 702.2843467859.

The spelling of 346368960 in words is "three hundred forty-six million, three hundred sixty-eight thousand, nine hundred sixty".