345137328 has 40 divisors (see below), whose sum is σ = 990673200. Its totient is φ = 115045632.

The previous prime is 345137321. The next prime is 345137363. The reversal of 345137328 is 823731543.

It is a super-3 number, since 3×345137328³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 345137292 and 345137301.

It is not an unprimeable number, because it can be changed into a prime (345137321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 399033 + ... + 399896.

It is an arithmetic number, because the mean of its divisors is an integer number (24766830).

Almost surely, 2^345137328 is an apocalyptic number.

It is an amenable number.

345137328 is an abundant number, since it is smaller than the sum of its proper divisors (645535872).

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

345137328 is a wasteful number, since it uses less digits than its factorization.

345137328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798946 (or 798934 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 345137328 is about 18577.8719986978. The cubic root of 345137328 is about 701.4509550186.

The spelling of 345137328 in words is "three hundred forty-five million, one hundred thirty-seven thousand, three hundred twenty-eight".