34440384 has 112 divisors (see below), whose sum is σ = 103875840. Its totient is φ = 9968640.

The previous prime is 34440383. The next prime is 34440391. The reversal of 34440384 is 48304443.

It is a super-2 number, since 2×34440384² = 2372280100134912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34440383) 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, 48222 + ... + 48930.

Almost surely, 2^34440384 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 34440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51937920).

34440384 is an abundant number, since it is smaller than the sum of its proper divisors (69435456).

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

34440384 is a wasteful number, since it uses less digits than its factorization.

34440384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 34440384 is about 5868.5930170698. The cubic root of 34440384 is about 325.3538835596.

The spelling of 34440384 in words is "thirty-four million, four hundred forty thousand, three hundred eighty-four".