344248992 has 144 divisors (see below), whose sum is σ = 1050809760. Its totient is φ = 106569216.

The previous prime is 344248987. The next prime is 344249021. The reversal of 344248992 is 299842443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289423 + ... + 290609.

It is an arithmetic number, because the mean of its divisors is an integer number (7297290).

Almost surely, 2^344248992 is an apocalyptic number.

344248992 is a gapful number since it is divisible by the number (32) 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 344248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525404880).

344248992 is an abundant number, since it is smaller than the sum of its proper divisors (706560768).

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

344248992 is a wasteful number, since it uses less digits than its factorization.

344248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1264 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 344248992 is about 18553.9481512696. The cubic root of 344248992 is about 700.8486251993.

The spelling of 344248992 in words is "three hundred forty-four million, two hundred forty-eight thousand, nine hundred ninety-two".