345893785920 has 448 divisors, whose sum is σ = 1246292087040. Its totient is φ = 90288193536.

The previous prime is 345893785903. The next prime is 345893785921. The reversal of 345893785920 is 29587398543.

345893785920 is a `hidden beast` number, since 3 + 4 + 5 + 8 + 9 + 37 + 8 + 592 + 0 = 666.

It is a super-2 number, since 2×345893785920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345893785921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86406639 + ... + 86410641.

It is an arithmetic number, because the mean of its divisors is an integer number (2781901980).

Almost surely, 2^345893785920 is an apocalyptic number.

345893785920 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 345893785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623146043520).

345893785920 is an abundant number, since it is smaller than the sum of its proper divisors (900398301120).

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

345893785920 is a wasteful number, since it uses less digits than its factorization.

345893785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4223 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 345893785920 in words is "three hundred forty-five billion, eight hundred ninety-three million, seven hundred eighty-five thousand, nine hundred twenty".