345556160 has 56 divisors (see below), whose sum is σ = 830488560. Its totient is φ = 136940544.

The previous prime is 345556157. The next prime is 345556171. The reversal of 345556160 is 61655543.

It is a self number, because there is not a number n which added to its sum of digits gives 345556160.

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, 29927 + ... + 39833.

Almost surely, 2^345556160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345556160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415244280).

345556160 is an abundant number, since it is smaller than the sum of its proper divisors (484932400).

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

345556160 is a wasteful number, since it uses less digits than its factorization.

345556160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10033 (or 10023 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The square root of 345556160 is about 18589.1409161370. The cubic root of 345556160 is about 701.7345825511.

The spelling of 345556160 in words is "three hundred forty-five million, five hundred fifty-six thousand, one hundred sixty".