345399120 has 160 divisors (see below), whose sum is σ = 1297952640. Its totient is φ = 83727360.

The previous prime is 345399083. The next prime is 345399133. The reversal of 345399120 is 21993543.

It is a happy number.

345399120 is a `hidden beast` number, since 34 + 539 + 91 + 2 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 16492 + ... + 31028.

It is an arithmetic number, because the mean of its divisors is an integer number (8112204).

Almost surely, 2^345399120 is an apocalyptic number.

345399120 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 345399120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648976320).

345399120 is an abundant number, since it is smaller than the sum of its proper divisors (952553520).

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

345399120 is a wasteful number, since it uses less digits than its factorization.

345399120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14570 (or 14558 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 345399120 is about 18584.9164647033. The cubic root of 345399120 is about 701.6282639942.

The spelling of 345399120 in words is "three hundred forty-five million, three hundred ninety-nine thousand, one hundred twenty".