345661680 has 640 divisors, whose sum is σ = 1499904000. Its totient is φ = 65028096.

The previous prime is 345661669. The next prime is 345661703. The reversal of 345661680 is 86166543.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18192711 + ... + 18192729.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^345661680 is an apocalyptic number.

345661680 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 345661680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952000).

345661680 is an abundant number, since it is smaller than the sum of its proper divisors (1154242320).

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

345661680 is a wasteful number, since it uses less digits than its factorization.

345661680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 345661680 is about 18591.9789156507. The cubic root of 345661680 is about 701.8060031632.

The spelling of 345661680 in words is "three hundred forty-five million, six hundred sixty-one thousand, six hundred eighty".