34088840 has 64 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 12821760.

The previous prime is 34088839. The next prime is 34088849. The reversal of 34088840 is 4888043.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 34088840.

It is not an unprimeable number, because it can be changed into a prime (34088849) 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, 45509 + ... + 46251.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^34088840 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 34088840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

34088840 is an abundant number, since it is smaller than the sum of its proper divisors (47334520).

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

34088840 is a wasteful number, since it uses less digits than its factorization.

34088840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 34088840 is about 5838.5648921631. The cubic root of 34088840 is about 324.2430985604.

The spelling of 34088840 in words is "thirty-four million, eighty-eight thousand, eight hundred forty".