344668537340820 has 576 divisors, whose sum is σ = 1364472405983232. Its totient is φ = 68332940928000.

The previous prime is 344668537340807. The next prime is 344668537340839. The reversal of 344668537340820 is 28043735866443.

344668537340820 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 68 + 537 + 34 + 0 + 8 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24856642 + ... + 36155078.

It is an arithmetic number, because the mean of its divisors is an integer number (2368875704832).

Almost surely, 2^{344668537340820} is an apocalyptic number.

344668537340820 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 344668537340820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682236202991616).

344668537340820 is an abundant number, since it is smaller than the sum of its proper divisors (1019803868642412).

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

344668537340820 is a wasteful number, since it uses less digits than its factorization.

344668537340820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11298572 (or 11298567 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 63.

The spelling of 344668537340820 in words is "three hundred forty-four trillion, six hundred sixty-eight billion, five hundred thirty-seven million, three hundred forty thousand, eight hundred twenty".