344424960 has 400 divisors, whose sum is σ = 1354681152. Its totient is φ = 82944000.

The previous prime is 344424953. The next prime is 344425009. The reversal of 344424960 is 69424443.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2280885 + ... + 2281035.

Almost surely, 2^344424960 is an apocalyptic number.

344424960 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 344424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677340576).

344424960 is an abundant number, since it is smaller than the sum of its proper divisors (1010256192).

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

344424960 is a wasteful number, since it uses less digits than its factorization.

344424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 344424960 is about 18558.6896089137. The cubic root of 344424960 is about 700.9680212626.

The spelling of 344424960 in words is "three hundred forty-four million, four hundred twenty-four thousand, nine hundred sixty".