342106045800 has 192 divisors, whose sum is σ = 1104095404800. Its totient is φ = 87520742400.

The previous prime is 342106045763. The next prime is 342106045817. The reversal of 342106045800 is 8540601243.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2669185 + ... + 2794415.

It is an arithmetic number, because the mean of its divisors is an integer number (5750496900).

Almost surely, 2^342106045800 is an apocalyptic number.

342106045800 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 342106045800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552047702400).

342106045800 is an abundant number, since it is smaller than the sum of its proper divisors (761989359000).

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

342106045800 is a wasteful number, since it uses less digits than its factorization.

342106045800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125436 (or 125427 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 342106045800 in words is "three hundred forty-two billion, one hundred six million, forty-five thousand, eight hundred".