345027537120 has 384 divisors, whose sum is σ = 1286641843200. Its totient is φ = 76042616832.

The previous prime is 345027537119. The next prime is 345027537137. The reversal of 345027537120 is 21735720543.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91299391 + ... + 91303169.

It is an arithmetic number, because the mean of its divisors is an integer number (3350629800).

Almost surely, 2^345027537120 is an apocalyptic number.

345027537120 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 345027537120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643320921600).

345027537120 is an abundant number, since it is smaller than the sum of its proper divisors (941614306080).

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

345027537120 is a wasteful number, since it uses less digits than its factorization.

345027537120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4770 (or 4762 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 345027537120 in words is "three hundred forty-five billion, twenty-seven million, five hundred thirty-seven thousand, one hundred twenty".