344378496 has 256 divisors, whose sum is σ = 1202457600. Its totient is φ = 84602880.

The previous prime is 344378491. The next prime is 344378501. The reversal of 344378496 is 694873443.

It is an interprime number because it is at equal distance from previous prime (344378491) and next prime (344378501).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (344378491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561486 + ... + 562098.

It is an arithmetic number, because the mean of its divisors is an integer number (4697100).

Almost surely, 2^344378496 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 344378496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601228800).

344378496 is an abundant number, since it is smaller than the sum of its proper divisors (858079104).

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

344378496 is a wasteful number, since it uses less digits than its factorization.

344378496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 655 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 344378496 is about 18557.4377541729. The cubic root of 344378496 is about 700.9364989219.

The spelling of 344378496 in words is "three hundred forty-four million, three hundred seventy-eight thousand, four hundred ninety-six".