345409920 has 192 divisors, whose sum is σ = 1237476240. Its totient is φ = 92067840.

The previous prime is 345409903. The next prime is 345409931. The reversal of 345409920 is 29904543.

345409920 is a `hidden beast` number, since 3 + 4 + 540 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 154410 + ... + 156630.

Almost surely, 2^345409920 is an apocalyptic number.

345409920 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 345409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618738120).

345409920 is an abundant number, since it is smaller than the sum of its proper divisors (892066320).

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

345409920 is an equidigital number, since it uses as much as digits as its factorization.

345409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2231 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 345409920 is about 18585.2070206388. The cubic root of 345409920 is about 701.6355767963.

The spelling of 345409920 in words is "three hundred forty-five million, four hundred nine thousand, nine hundred twenty".