345312125730 has 512 divisors, whose sum is σ = 1127958773760. Its totient is φ = 74027520000.

The previous prime is 345312125707. The next prime is 345312125747. The reversal of 345312125730 is 37521213543.

345312125730 is a `hidden beast` number, since 3 + 45 + 31 + 2 + 12 + 573 + 0 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 123280330 + ... + 123283130.

It is an arithmetic number, because the mean of its divisors is an integer number (2203044480).

Almost surely, 2^345312125730 is an apocalyptic number.

345312125730 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 345312125730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563979386880).

345312125730 is an abundant number, since it is smaller than the sum of its proper divisors (782646648030).

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

345312125730 is a wasteful number, since it uses less digits than its factorization.

345312125730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 345312125730 in words is "three hundred forty-five billion, three hundred twelve million, one hundred twenty-five thousand, seven hundred thirty".