344252000 has 96 divisors (see below), whose sum is σ = 856215360. Its totient is φ = 136012800.

The previous prime is 344251997. The next prime is 344252003. The reversal of 344252000 is 252443.

It is an interprime number because it is at equal distance from previous prime (344251997) and next prime (344252003).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344252003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355517 + ... + 356483.

It is an arithmetic number, because the mean of its divisors is an integer number (8918910).

Almost surely, 2^344252000 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 344252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428107680).

344252000 is an abundant number, since it is smaller than the sum of its proper divisors (511963360).

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

344252000 is an equidigital number, since it uses as much as digits as its factorization.

344252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 344252000 is about 18554.0292120068. The cubic root of 344252000 is about 700.8506664994.

The spelling of 344252000 in words is "three hundred forty-four million, two hundred fifty-two thousand".