346645920 has 96 divisors (see below), whose sum is σ = 1109928960. Its totient is φ = 90915840.

The previous prime is 346645891. The next prime is 346645921. The reversal of 346645920 is 29546643.

346645920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (346645921) 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, 23361 + ... + 35199.

It is an arithmetic number, because the mean of its divisors is an integer number (11561760).

Almost surely, 2^346645920 is an apocalyptic number.

346645920 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 346645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554964480).

346645920 is an abundant number, since it is smaller than the sum of its proper divisors (763283040).

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

346645920 is a wasteful number, since it uses less digits than its factorization.

346645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11918 (or 11910 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 346645920 is about 18618.4295793174. The cubic root of 346645920 is about 702.4714813885.

The spelling of 346645920 in words is "three hundred forty-six million, six hundred forty-five thousand, nine hundred twenty".