34311840 has 48 divisors (see below), whose sum is σ = 108083808. Its totient is φ = 9149696.

The previous prime is 34311817. The next prime is 34311841. The reversal of 34311840 is 4811343.

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

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 34311840.

It is not an unprimeable number, because it can be changed into a prime (34311841) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35262 + ... + 36221.

It is an arithmetic number, because the mean of its divisors is an integer number (2251746).

Almost surely, 2^34311840 is an apocalyptic number.

34311840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34311840 is an abundant number, since it is smaller than the sum of its proper divisors (73771968).

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

34311840 is a wasteful number, since it uses less digits than its factorization.

34311840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71501 (or 71493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34311840 is about 5857.6309204319. The cubic root of 34311840 is about 324.9485993662.

The spelling of 34311840 in words is "thirty-four million, three hundred eleven thousand, eight hundred forty".