344432640 has 112 divisors (see below), whose sum is σ = 1102510368. Its totient is φ = 91815936.

The previous prime is 344432639. The next prime is 344432663. The reversal of 344432640 is 46234443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 344432598 and 344432607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121479 + ... + 124281.

Almost surely, 2^344432640 is an apocalyptic number.

344432640 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 344432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551255184).

344432640 is an abundant number, since it is smaller than the sum of its proper divisors (758077728).

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

344432640 is an equidigital number, since it uses as much as digits as its factorization.

344432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 344432640 is about 18558.8965189205. The cubic root of 344432640 is about 700.9732312938.

The spelling of 344432640 in words is "three hundred forty-four million, four hundred thirty-two thousand, six hundred forty".