344404610316 has 192 divisors, whose sum is σ = 1012609382400. Its totient is φ = 100432265472.

The previous prime is 344404610311. The next prime is 344404610317. The reversal of 344404610316 is 613016404443.

344404610316 is a `hidden beast` number, since 3 + 4 + 4 + 4 + 0 + 4 + 610 + 31 + 6 = 666.

It is a super-2 number, since 2×344404610316² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (344404610311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3470905 + ... + 3568751.

It is an arithmetic number, because the mean of its divisors is an integer number (5274007200).

Almost surely, 2^344404610316 is an apocalyptic number.

344404610316 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 344404610316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506304691200).

344404610316 is an abundant number, since it is smaller than the sum of its proper divisors (668204772084).

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

344404610316 is a wasteful number, since it uses less digits than its factorization.

344404610316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98005 (or 97997 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 344404610316 in words is "three hundred forty-four billion, four hundred four million, six hundred ten thousand, three hundred sixteen".