344964096 has 110 divisors (see below), whose sum is σ = 1030377920. Its totient is φ = 114960384.

The previous prime is 344964049. The next prime is 344964101. The reversal of 344964096 is 690469443.

It is a happy number.

344964096 is a `hidden beast` number, since 34 + 496 + 40 + 96 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80865 + ... + 85023.

It is an arithmetic number, because the mean of its divisors is an integer number (9367072).

Almost surely, 2^344964096 is an apocalyptic number.

344964096 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 344964096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515188960).

344964096 is an abundant number, since it is smaller than the sum of its proper divisors (685413824).

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

344964096 is an equidigital number, since it uses as much as digits as its factorization.

344964096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 344964096 is about 18573.2090926689. The cubic root of 344964096 is about 701.3335775017. Note that the first 3 decimals are identical.

The spelling of 344964096 in words is "three hundred forty-four million, nine hundred sixty-four thousand, ninety-six".