344314004132032 has 224 divisors, whose sum is σ = 774545526547200. Its totient is φ = 150428137574400.

The previous prime is 344314004132023. The next prime is 344314004132041. The reversal of 344314004132032 is 230231400413443.

It is an interprime number because it is at equal distance from previous prime (344314004132023) and next prime (344314004132041).

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, 7090023783 + ... + 7090072345.

Almost surely, 2^{344314004132032} is an apocalyptic number.

344314004132032 is a gapful number since it is divisible by the number (32) 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 344314004132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387272763273600).

344314004132032 is an abundant number, since it is smaller than the sum of its proper divisors (430231522415168).

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

344314004132032 is a wasteful number, since it uses less digits than its factorization.

344314004132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50175 (or 50165 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 344314004132032 its reverse (230231400413443), we get a palindrome (574545404545475).

The spelling of 344314004132032 in words is "three hundred forty-four trillion, three hundred fourteen billion, four million, one hundred thirty-two thousand, thirty-two".