345472680 has 128 divisors (see below), whose sum is σ = 1222778880. Its totient is φ = 76412160.

The previous prime is 345472667. The next prime is 345472693. The reversal of 345472680 is 86274543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (345472667) and next prime (345472693).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19407 + ... + 32673.

It is an arithmetic number, because the mean of its divisors is an integer number (9552960).

Almost surely, 2^345472680 is an apocalyptic number.

345472680 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 345472680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611389440).

345472680 is an abundant number, since it is smaller than the sum of its proper divisors (877306200).

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

345472680 is a wasteful number, since it uses less digits than its factorization.

345472680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319 (or 13315 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 345472680 is about 18586.8953835760. The cubic root of 345472680 is about 701.6780692857.

The spelling of 345472680 in words is "three hundred forty-five million, four hundred seventy-two thousand, six hundred eighty".