345946320 has 120 divisors (see below), whose sum is σ = 1186638336. Its totient is φ = 90280704.

The previous prime is 345946303. The next prime is 345946333. The reversal of 345946320 is 23649543.

345946320 is a `hidden beast` number, since 3 + 4 + 594 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28729 + ... + 38951.

Almost surely, 2^345946320 is an apocalyptic number.

345946320 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 345946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593319168).

345946320 is an abundant number, since it is smaller than the sum of its proper divisors (840692016).

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

345946320 is a wasteful number, since it uses less digits than its factorization.

345946320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10289 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 345946320 is about 18599.6322544291. The cubic root of 345946320 is about 701.9985876710.

The spelling of 345946320 in words is "three hundred forty-five million, nine hundred forty-six thousand, three hundred twenty".