345040128 has 72 divisors (see below), whose sum is σ = 1020364800. Its totient is φ = 115011072.

The previous prime is 345040103. The next prime is 345040159. The reversal of 345040128 is 821040543.

345040128 is a `hidden beast` number, since 34 + 504 + 0 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18048 + ... + 31871.

Almost surely, 2^345040128 is an apocalyptic number.

It is an amenable number.

345040128 is an abundant number, since it is smaller than the sum of its proper divisors (675324672).

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

345040128 is an equidigital number, since it uses as much as digits as its factorization.

345040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49944 (or 49924 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 345040128 is about 18575.2557990462. The cubic root of 345040128 is about 701.3850996534.

The spelling of 345040128 in words is "three hundred forty-five million, forty thousand, one hundred twenty-eight".