345759022080 has 1056 divisors, whose sum is σ = 1310078689920. Its totient is φ = 84085309440.

The previous prime is 345759022069. The next prime is 345759022087. The reversal of 345759022080 is 80220957543.

345759022080 is a `hidden beast` number, since 3 + 4 + 57 + 590 + 2 + 2 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345759022087) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3172101066 + ... + 3172101174.

It is an arithmetic number, because the mean of its divisors is an integer number (1240604820).

Almost surely, 2^345759022080 is an apocalyptic number.

345759022080 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 345759022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655039344960).

345759022080 is an abundant number, since it is smaller than the sum of its proper divisors (964319667840).

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

345759022080 is a wasteful number, since it uses less digits than its factorization.

345759022080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 345759022080 in words is "three hundred forty-five billion, seven hundred fifty-nine million, twenty-two thousand, eighty".