344440904640 has 112 divisors (see below), whose sum is σ = 1249828449792. Its totient is φ = 78729348096.

The previous prime is 344440904581. The next prime is 344440904651. The reversal of 344440904640 is 46409044443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 344440904592 and 344440904601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25621324 + ... + 25634763.

Almost surely, 2^344440904640 is an apocalyptic number.

344440904640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

344440904640 is an abundant number, since it is smaller than the sum of its proper divisors (905387545152).

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

344440904640 is a wasteful number, since it uses less digits than its factorization.

344440904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51256114 (or 51256104 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 344440904640 in words is "three hundred forty-four billion, four hundred forty million, nine hundred four thousand, six hundred forty".