344642035400 has 96 divisors (see below), whose sum is σ = 868428036840. Its totient is φ = 126441768960.

The previous prime is 344642035399. The next prime is 344642035447. The reversal of 344642035400 is 4530246443.

It can be written as a sum of positive squares in 12 ways, for example, as 11230488676 + 333411546724 = 105974^2 + 577418^2 .

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, 13949 + ... + 830348.

Almost surely, 2^344642035400 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 344642035400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434214018420).

344642035400 is an abundant number, since it is smaller than the sum of its proper divisors (523786001440).

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

344642035400 is a wasteful number, since it uses less digits than its factorization.

344642035400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844483 (or 844474 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 344642035400 in words is "three hundred forty-four billion, six hundred forty-two million, thirty-five thousand, four hundred".