345117032764 has 192 divisors, whose sum is σ = 768991104000. Its totient is φ = 132211906560.

The previous prime is 345117032753. The next prime is 345117032791. The reversal of 345117032764 is 467230711543.

It is a self number, because there is not a number n which added to its sum of digits gives 345117032764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 144459682 + ... + 144462070.

It is an arithmetic number, because the mean of its divisors is an integer number (4005162000).

Almost surely, 2^345117032764 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 345117032764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384495552000).

345117032764 is an abundant number, since it is smaller than the sum of its proper divisors (423874071236).

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

345117032764 is a wasteful number, since it uses less digits than its factorization.

345117032764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2676 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 345117032764 in words is "three hundred forty-five billion, one hundred seventeen million, thirty-two thousand, seven hundred sixty-four".