345733920 has 480 divisors, whose sum is σ = 1446052608. Its totient is φ = 76142592.

The previous prime is 345733903. The next prime is 345733933. The reversal of 345733920 is 29337543.

345733920 is a `hidden beast` number, since 34 + 573 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 3356589 + ... + 3356691.

Almost surely, 2^345733920 is an apocalyptic number.

345733920 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 345733920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723026304).

345733920 is an abundant number, since it is smaller than the sum of its proper divisors (1100318688).

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

345733920 is a wasteful number, since it uses less digits than its factorization.

345733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 345733920 is about 18593.9215874436. The cubic root of 345733920 is about 701.8548900152.

The spelling of 345733920 in words is "three hundred forty-five million, seven hundred thirty-three thousand, nine hundred twenty".