344085140 has 96 divisors (see below), whose sum is σ = 859778304. Its totient is φ = 113218560.

The previous prime is 344085139. The next prime is 344085179. The reversal of 344085140 is 41580443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 366752 + ... + 367688.

It is an arithmetic number, because the mean of its divisors is an integer number (8956024).

Almost surely, 2^344085140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344085140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429889152).

344085140 is an abundant number, since it is smaller than the sum of its proper divisors (515693164).

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

344085140 is a wasteful number, since it uses less digits than its factorization.

344085140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 344085140 is about 18549.5320695698. The cubic root of 344085140 is about 700.7374133770.

The spelling of 344085140 in words is "three hundred forty-four million, eighty-five thousand, one hundred forty".