344845992960 has 528 divisors, whose sum is σ = 1376172749952. Its totient is φ = 78210662400.

The previous prime is 344845992937. The next prime is 344845992971. The reversal of 344845992960 is 69299548443.

344845992960 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 459 + 92 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42251280 + ... + 42259440.

It is an arithmetic number, because the mean of its divisors is an integer number (2606387784).

Almost surely, 2^344845992960 is an apocalyptic number.

344845992960 is a gapful number since it is divisible by the number (30) 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 344845992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688086374976).

344845992960 is an abundant number, since it is smaller than the sum of its proper divisors (1031326756992).

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

344845992960 is a wasteful number, since it uses less digits than its factorization.

344845992960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8330 (or 8309 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 344845992960 in words is "three hundred forty-four billion, eight hundred forty-five million, nine hundred ninety-two thousand, nine hundred sixty".