34221824 has 108 divisors (see below), whose sum is σ = 85283856. Its totient is φ = 13418496.

The previous prime is 34221809. The next prime is 34221857. The reversal of 34221824 is 42812243.

It is a super-2 number, since 2×34221824² = 2342266475773952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 34221793 and 34221802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302792 + ... + 302904.

Almost surely, 2^34221824 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 34221824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42641928).

34221824 is an abundant number, since it is smaller than the sum of its proper divisors (51062032).

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

34221824 is a wasteful number, since it uses less digits than its factorization.

34221824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its digits is 3072, while the sum is 26.

The square root of 34221824 is about 5849.9422219369. The cubic root of 34221824 is about 324.6641864660.

The spelling of 34221824 in words is "thirty-four million, two hundred twenty-one thousand, eight hundred twenty-four".