345420936 has 160 divisors (see below), whose sum is σ = 1113742080. Its totient is φ = 97977600.

The previous prime is 345420913. The next prime is 345420947. The reversal of 345420936 is 639024543.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345420936.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1229116 + ... + 1229396.

It is an arithmetic number, because the mean of its divisors is an integer number (6960888).

Almost surely, 2^345420936 is an apocalyptic number.

345420936 is a gapful number since it is divisible by the number (36) 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 345420936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556871040).

345420936 is an abundant number, since it is smaller than the sum of its proper divisors (768321144).

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

345420936 is a wasteful number, since it uses less digits than its factorization.

345420936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 345420936 is about 18585.5033830133. The cubic root of 345420936 is about 701.6430356975.

The spelling of 345420936 in words is "three hundred forty-five million, four hundred twenty thousand, nine hundred thirty-six".