344916096 has 192 divisors, whose sum is σ = 1113497280. Its totient is φ = 94144512.

The previous prime is 344916079. The next prime is 344916157. The reversal of 344916096 is 690619443.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×344916096² = 237934226559762432, which contains 22 as substring.

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

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, 432370 + ... + 433166.

It is an arithmetic number, because the mean of its divisors is an integer number (5799465).

Almost surely, 2^344916096 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 344916096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556748640).

344916096 is an abundant number, since it is smaller than the sum of its proper divisors (768581184).

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

344916096 is a wasteful number, since it uses less digits than its factorization.

344916096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 344916096 is about 18571.9168639104. The cubic root of 344916096 is about 701.3010469924.

The spelling of 344916096 in words is "three hundred forty-four million, nine hundred sixteen thousand, ninety-six".