344701992960 has 1088 divisors, whose sum is σ = 1372281912960. Its totient is φ = 82556485632.

The previous prime is 344701992953. The next prime is 344701993001. The reversal of 344701992960 is 69299107443.

344701992960 is a `hidden beast` number, since 3 + 4 + 470 + 1 + 99 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 344701992897 and 344701992906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9316270062 + ... + 9316270098.

Almost surely, 2^344701992960 is an apocalyptic number.

344701992960 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 344701992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686140956480).

344701992960 is an abundant number, since it is smaller than the sum of its proper divisors (1027579920000).

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

344701992960 is an frugal number, since it uses more digits than its factorization.

344701992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 344701992960 in words is "three hundred forty-four billion, seven hundred one million, nine hundred ninety-two thousand, nine hundred sixty".