345961680 has 80 divisors (see below), whose sum is σ = 1075478784. Its totient is φ = 91998720.

The previous prime is 345961661. The next prime is 345961697. The reversal of 345961680 is 86169543.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93465 + ... + 97095.

Almost surely, 2^345961680 is an apocalyptic number.

345961680 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 345961680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537739392).

345961680 is an abundant number, since it is smaller than the sum of its proper divisors (729517104).

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

345961680 is a wasteful number, since it uses less digits than its factorization.

345961680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4044 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 345961680 is about 18600.0451612355. The cubic root of 345961680 is about 702.0089770851.

The spelling of 345961680 in words is "three hundred forty-five million, nine hundred sixty-one thousand, six hundred eighty".