34124868 has 48 divisors (see below), whose sum is σ = 89328960. Its totient is φ = 11264832.

The previous prime is 34124861. The next prime is 34124873. The reversal of 34124868 is 86842143.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34124861) 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, 10080 + ... + 13032.

It is an arithmetic number, because the mean of its divisors is an integer number (1861020).

Almost surely, 2^34124868 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 34124868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44664480).

34124868 is an abundant number, since it is smaller than the sum of its proper divisors (55204092).

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

34124868 is a wasteful number, since it uses less digits than its factorization.

34124868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3065 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34124868 is about 5841.6494246060. The cubic root of 34124868 is about 324.3572876158.

The spelling of 34124868 in words is "thirty-four million, one hundred twenty-four thousand, eight hundred sixty-eight".