344361665120 has 48 divisors (see below), whose sum is σ = 887513932368. Its totient is φ = 125222423040.

The previous prime is 344361665113. The next prime is 344361665159. The reversal of 344361665120 is 21566163443.

It is a super-2 number, since 2×344361665120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97828259 + ... + 97831778.

It is an arithmetic number, because the mean of its divisors is an integer number (18489873591).

Almost surely, 2^344361665120 is an apocalyptic number.

It is an amenable number.

344361665120 is an abundant number, since it is smaller than the sum of its proper divisors (543152267248).

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

344361665120 is a wasteful number, since it uses less digits than its factorization.

344361665120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195660063 (or 195660055 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 344361665120 in words is "three hundred forty-four billion, three hundred sixty-one million, six hundred sixty-five thousand, one hundred twenty".