345480715944 has 1600 divisors, whose sum is σ = 1366529472000. Its totient is φ = 80655160320.

The previous prime is 345480715883. The next prime is 345480715981. The reversal of 345480715944 is 449517084543.

345480715944 is a `hidden beast` number, since 3 + 4 + 5 + 48 + 0 + 7 + 1 + 594 + 4 = 666.

It is a super-2 number, since 2×345480715944² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 11144539209 + ... + 11144539239.

It is an arithmetic number, because the mean of its divisors is an integer number (854080920).

Almost surely, 2^345480715944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345480715944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683264736000).

345480715944 is an abundant number, since it is smaller than the sum of its proper divisors (1021048756056).

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

345480715944 is a wasteful number, since it uses less digits than its factorization.

345480715944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 345480715944 in words is "three hundred forty-five billion, four hundred eighty million, seven hundred fifteen thousand, nine hundred forty-four".