345080736000 has 4320 divisors, whose sum is σ = 1847332206720. Its totient is φ = 62705664000.

The previous prime is 345080735971. The next prime is 345080736037. The reversal of 345080736000 is 637080543.

It is a happy number.

345080736000 is a `hidden beast` number, since 3 + 45 + 0 + 8 + 0 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18162143991 + ... + 18162144009.

It is an arithmetic number, because the mean of its divisors is an integer number (427623196).

Almost surely, 2^345080736000 is an apocalyptic number.

345080736000 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 345080736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923666103360).

345080736000 is an abundant number, since it is smaller than the sum of its proper divisors (1502251470720).

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

345080736000 is a wasteful number, since it uses less digits than its factorization.

345080736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 345080736000 in words is "three hundred forty-five billion, eighty million, seven hundred thirty-six thousand".