345019584000 has 1920 divisors, whose sum is σ = 1495275724800. Its totient is φ = 70447104000.

The previous prime is 345019583959. The next prime is 345019584023. The reversal of 345019584000 is 485910543.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 345019584000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11129663985 + ... + 11129664015.

It is an arithmetic number, because the mean of its divisors is an integer number (778789440).

Almost surely, 2^345019584000 is an apocalyptic number.

345019584000 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 345019584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747637862400).

345019584000 is an abundant number, since it is smaller than the sum of its proper divisors (1150256140800).

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

345019584000 is an equidigital number, since it uses as much as digits as its factorization.

345019584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 345019584000 in words is "three hundred forty-five billion, nineteen million, five hundred eighty-four thousand".