344778960400 has 120 divisors (see below), whose sum is σ = 948916370624. Its totient is φ = 117928742400.

The previous prime is 344778960347. The next prime is 344778960479. The reversal of 344778960400 is 4069877443.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1032559 + ... + 1325041.

Almost surely, 2^344778960400 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 344778960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474458185312).

344778960400 is an abundant number, since it is smaller than the sum of its proper divisors (604137410224).

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

344778960400 is a wasteful number, since it uses less digits than its factorization.

344778960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292929 (or 292918 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 344778960400 in words is "three hundred forty-four billion, seven hundred seventy-eight million, nine hundred sixty thousand, four hundred".