344377440 has 192 divisors, whose sum is σ = 1315077120. Its totient is φ = 83473920.

The previous prime is 344377417. The next prime is 344377447. The reversal of 344377440 is 44773443.

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

It is a junction number, because it is equal to n+sod(n) for n = 344377395 and 344377404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344377447) 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, 43897 + ... + 51143.

It is an arithmetic number, because the mean of its divisors is an integer number (6849360).

Almost surely, 2^344377440 is an apocalyptic number.

344377440 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 344377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657538560).

344377440 is an abundant number, since it is smaller than the sum of its proper divisors (970699680).

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

344377440 is a wasteful number, since it uses less digits than its factorization.

344377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7268 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

The square root of 344377440 is about 18557.4093019473. The cubic root of 344377440 is about 700.9357824721.

The spelling of 344377440 in words is "three hundred forty-four million, three hundred seventy-seven thousand, four hundred forty".