345237238080 has 672 divisors, whose sum is σ = 1395462182400. Its totient is φ = 78304665600.

The previous prime is 345237238067. The next prime is 345237238139. The reversal of 345237238080 is 80832732543.

345237238080 is a `hidden beast` number, since 34 + 5 + 237 + 2 + 380 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 135332805 + ... + 135335355.

Almost surely, 2^345237238080 is an apocalyptic number.

345237238080 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 345237238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697731091200).

345237238080 is an abundant number, since it is smaller than the sum of its proper divisors (1050224944320).

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

345237238080 is a wasteful number, since it uses less digits than its factorization.

345237238080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 345237238080 in words is "three hundred forty-five billion, two hundred thirty-seven million, two hundred thirty-eight thousand, eighty".