344874960 has 240 divisors, whose sum is σ = 1218672000. Its totient is φ = 87284736.

The previous prime is 344874899. The next prime is 344874961. The reversal of 344874960 is 69478443.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344874961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1732941 + ... + 1733139.

It is an arithmetic number, because the mean of its divisors is an integer number (5077800).

Almost surely, 2^344874960 is an apocalyptic number.

344874960 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 344874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

344874960 is an abundant number, since it is smaller than the sum of its proper divisors (873797040).

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

344874960 is a wasteful number, since it uses less digits than its factorization.

344874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 344874960 is about 18570.8093523142. The cubic root of 344874960 is about 701.2731659443.

The spelling of 344874960 in words is "three hundred forty-four million, eight hundred seventy-four thousand, nine hundred sixty".