345784320000 has 1080 divisors, whose sum is σ = 1447876606176. Its totient is φ = 77856768000.

The previous prime is 345784319971. The next prime is 345784320019. The reversal of 345784320000 is 23487543.

It is a happy number.

345784320000 is a `hidden beast` number, since 345 + 78 + 43 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5160959967 + ... + 5160960033.

Almost surely, 2^345784320000 is an apocalyptic number.

345784320000 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 345784320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723938303088).

345784320000 is an abundant number, since it is smaller than the sum of its proper divisors (1102092286176).

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

345784320000 is an frugal number, since it uses more digits than its factorization.

345784320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 345784320000 in words is "three hundred forty-five billion, seven hundred eighty-four million, three hundred twenty thousand".