345768720 has 80 divisors (see below), whose sum is σ = 1169335872. Its totient is φ = 83822080.

The previous prime is 345768691. The next prime is 345768727. The reversal of 345768720 is 27867543.

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

It is not an unprimeable number, because it can be changed into a prime (345768727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62847 + ... + 68126.

Almost surely, 2^345768720 is an apocalyptic number.

345768720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345768720 is an abundant number, since it is smaller than the sum of its proper divisors (823567152).

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

345768720 is a wasteful number, since it uses less digits than its factorization.

345768720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131000 (or 130994 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 345768720 is about 18594.8573535803. The cubic root of 345768720 is about 701.8784377296.

The spelling of 345768720 in words is "three hundred forty-five million, seven hundred sixty-eight thousand, seven hundred twenty".