345615660 has 120 divisors (see below), whose sum is σ = 1167680976. Its totient is φ = 85069440.

The previous prime is 345615623. The next prime is 345615667. The reversal of 345615660 is 66516543.

345615660 is a `hidden beast` number, since 34 + 5 + 61 + 566 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (345615667) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12855 + ... + 29265.

Almost surely, 2^345615660 is an apocalyptic number.

345615660 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 345615660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583840488).

345615660 is an abundant number, since it is smaller than the sum of its proper divisors (822065316).

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

345615660 is a wasteful number, since it uses less digits than its factorization.

345615660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16445 (or 16434 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 345615660 is about 18590.7412439634. The cubic root of 345615660 is about 701.7748565753.

The spelling of 345615660 in words is "three hundred forty-five million, six hundred fifteen thousand, six hundred sixty".