34439040 has 128 divisors (see below), whose sum is σ = 122032800. Its totient is φ = 9179136.

The previous prime is 34439021. The next prime is 34439099. The reversal of 34439040 is 4093443.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×34439040² = 2372094952243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34438995 and 34439013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16284 + ... + 18276.

Almost surely, 2^34439040 is an apocalyptic number.

34439040 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 34439040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61016400).

34439040 is an abundant number, since it is smaller than the sum of its proper divisors (87593760).

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

34439040 is a wasteful number, since it uses less digits than its factorization.

34439040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 34439040 is about 5868.4785080973. The cubic root of 34439040 is about 325.3496513061.

The spelling of 34439040 in words is "thirty-four million, four hundred thirty-nine thousand, forty".