345726650880 has 960 divisors, whose sum is σ = 1376286912000. Its totient is φ = 79498838016.

The previous prime is 345726650851. The next prime is 345726650911. The reversal of 345726650880 is 88056627543.

345726650880 is a `hidden beast` number, since 3 + 4 + 5 + 72 + 66 + 508 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 449579136 + ... + 449579904.

It is an arithmetic number, because the mean of its divisors is an integer number (1433632200).

Almost surely, 2^345726650880 is an apocalyptic number.

345726650880 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 345726650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688143456000).

345726650880 is an abundant number, since it is smaller than the sum of its proper divisors (1030560261120).

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

345726650880 is a wasteful number, since it uses less digits than its factorization.

345726650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 890 counting only the distinct ones).

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

The spelling of 345726650880 in words is "three hundred forty-five billion, seven hundred twenty-six million, six hundred fifty thousand, eight hundred eighty".