345793136920 has 768 divisors, whose sum is σ = 1084180930560. Its totient is φ = 96712704000.

The previous prime is 345793136911. The next prime is 345793136939. The reversal of 345793136920 is 29631397543.

It is a happy number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1910459230 + ... + 1910459410.

It is an arithmetic number, because the mean of its divisors is an integer number (1411693920).

Almost surely, 2^345793136920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345793136920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542090465280).

345793136920 is an abundant number, since it is smaller than the sum of its proper divisors (738387793640).

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

345793136920 is a wasteful number, since it uses less digits than its factorization.

345793136920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 52.

The spelling of 345793136920 in words is "three hundred forty-five billion, seven hundred ninety-three million, one hundred thirty-six thousand, nine hundred twenty".