345322897920 has 3840 divisors, whose sum is σ = 1805644431360. Its totient is φ = 61312204800.

The previous prime is 345322897919. The next prime is 345322897949. The reversal of 345322897920 is 29798223543.

345322897920 is a `hidden beast` number, since 3 + 4 + 532 + 2 + 89 + 7 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11139448305 + ... + 11139448335.

It is an arithmetic number, because the mean of its divisors is an integer number (470219904).

Almost surely, 2^345322897920 is an apocalyptic number.

345322897920 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 345322897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902822215680).

345322897920 is an abundant number, since it is smaller than the sum of its proper divisors (1460321533440).

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

345322897920 is a wasteful number, since it uses less digits than its factorization.

345322897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 345322897920 in words is "three hundred forty-five billion, three hundred twenty-two million, eight hundred ninety-seven thousand, nine hundred twenty".