344409792696 has 128 divisors (see below), whose sum is σ = 963511718400. Its totient is φ = 113986702080.

The previous prime is 344409792659. The next prime is 344409792719. The reversal of 344409792696 is 696297904443.

344409792696 is a `hidden beast` number, since 34 + 440 + 9 + 79 + 2 + 6 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35020996 + ... + 35030828.

It is an arithmetic number, because the mean of its divisors is an integer number (7527435300).

Almost surely, 2^344409792696 is an apocalyptic number.

344409792696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344409792696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481755859200).

344409792696 is an abundant number, since it is smaller than the sum of its proper divisors (619101925704).

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

344409792696 is a wasteful number, since it uses less digits than its factorization.

344409792696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10986 (or 10976 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 344409792696 in words is "three hundred forty-four billion, four hundred nine million, seven hundred ninety-two thousand, six hundred ninety-six".