34009440 has 48 divisors (see below), whose sum is σ = 107131248. Its totient is φ = 9069056.

The previous prime is 34009439. The next prime is 34009453. The reversal of 34009440 is 4490043.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×34009440² = 2313284018227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34009440.

It is a congruent number.

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, 34947 + ... + 35906.

It is an arithmetic number, because the mean of its divisors is an integer number (2231901).

Almost surely, 2^34009440 is an apocalyptic number.

34009440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34009440 is an abundant number, since it is smaller than the sum of its proper divisors (73121808).

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

34009440 is a wasteful number, since it uses less digits than its factorization.

34009440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70871 (or 70863 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34009440 is about 5831.7613119880. The cubic root of 34009440 is about 323.9911596430.

Adding to 34009440 its reverse (4490043), we get a palindrome (38499483).

The spelling of 34009440 in words is "thirty-four million, nine thousand, four hundred forty".