344683772136 has 288 divisors, whose sum is σ = 1101793492800. Its totient is φ = 96917990400.

The previous prime is 344683772039. The next prime is 344683772141. The reversal of 344683772136 is 631277386443.

344683772136 is a `hidden beast` number, since 3 + 446 + 83 + 77 + 21 + 36 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10498995 + ... + 10531773.

It is an arithmetic number, because the mean of its divisors is an integer number (3825671850).

Almost surely, 2^344683772136 is an apocalyptic number.

344683772136 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 344683772136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550896746400).

344683772136 is an abundant number, since it is smaller than the sum of its proper divisors (757109720664).

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

344683772136 is a wasteful number, since it uses less digits than its factorization.

344683772136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32901 (or 32883 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 344683772136 in words is "three hundred forty-four billion, six hundred eighty-three million, seven hundred seventy-two thousand, one hundred thirty-six".