344970496640 has 256 divisors, whose sum is σ = 1036706653440. Its totient is φ = 107521413120.

The previous prime is 344970496639. The next prime is 344970496649. The reversal of 344970496640 is 46694079443.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (344970496649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5933954 + ... + 5991806.

It is an arithmetic number, because the mean of its divisors is an integer number (4049635365).

Almost surely, 2^344970496640 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 344970496640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518353326720).

344970496640 is an abundant number, since it is smaller than the sum of its proper divisors (691736156800).

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

344970496640 is an equidigital number, since it uses as much as digits as its factorization.

344970496640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57912 (or 57878 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 56.

The spelling of 344970496640 in words is "three hundred forty-four billion, nine hundred seventy million, four hundred ninety-six thousand, six hundred forty".