345346760000 has 280 divisors, whose sum is σ = 955975414944. Its totient is φ = 122653440000.

The previous prime is 345346759963. The next prime is 345346760027. The reversal of 345346760000 is 67643543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18910874 + ... + 18929126.

Almost surely, 2^345346760000 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 345346760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477987707472).

345346760000 is an abundant number, since it is smaller than the sum of its proper divisors (610628654944).

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

345346760000 is a wasteful number, since it uses less digits than its factorization.

345346760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18339 (or 18314 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 345346760000 in words is "three hundred forty-five billion, three hundred forty-six million, seven hundred sixty thousand".