344977762304 has 144 divisors (see below), whose sum is σ = 804253790340. Its totient is φ = 147507118080.

The previous prime is 344977762279. The next prime is 344977762307. The reversal of 344977762304 is 403267779443.

It can be written as a sum of positive squares in 2 ways, for example, as 332181627904 + 12796134400 = 576352^2 + 113120^2 .

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 344977762304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344977762307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46258544 + ... + 46266000.

Almost surely, 2^344977762304 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 344977762304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402126895170).

344977762304 is an abundant number, since it is smaller than the sum of its proper divisors (459276028036).

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

344977762304 is an equidigital number, since it uses as much as digits as its factorization.

344977762304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7954 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 56.

The spelling of 344977762304 in words is "three hundred forty-four billion, nine hundred seventy-seven million, seven hundred sixty-two thousand, three hundred four".