344013696 has 384 divisors, whose sum is σ = 1194624000. Its totient is φ = 97044480.

The previous prime is 344013671. The next prime is 344013743. The reversal of 344013696 is 696310443.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 344013696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11097201 + ... + 11097231.

It is an arithmetic number, because the mean of its divisors is an integer number (3111000).

Almost surely, 2^344013696 is an apocalyptic number.

344013696 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 344013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597312000).

344013696 is an abundant number, since it is smaller than the sum of its proper divisors (850610304).

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

344013696 is a wasteful number, since it uses less digits than its factorization.

344013696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 344013696 is about 18547.6062067319. The cubic root of 344013696 is about 700.6889108958.

The spelling of 344013696 in words is "three hundred forty-four million, thirteen thousand, six hundred ninety-six".