345600256680 has 384 divisors, whose sum is σ = 1310569528320. Its totient is φ = 77344450560.

The previous prime is 345600256621. The next prime is 345600256709. The reversal of 345600256680 is 86652006543.

345600256680 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 0 + 0 + 2 + 566 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72253569 + ... + 72258351.

It is an arithmetic number, because the mean of its divisors is an integer number (3412941480).

Almost surely, 2^345600256680 is an apocalyptic number.

345600256680 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 345600256680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655284764160).

345600256680 is an abundant number, since it is smaller than the sum of its proper divisors (964969271640).

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

345600256680 is a wasteful number, since it uses less digits than its factorization.

345600256680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 5394 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 345600256680 in words is "three hundred forty-five billion, six hundred million, two hundred fifty-six thousand, six hundred eighty".