34213824 has 42 divisors (see below), whose sum is σ = 98069400. Its totient is φ = 11404416.

The previous prime is 34213783. The next prime is 34213847. The reversal of 34213824 is 42831243.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29124 + ... + 30275.

Almost surely, 2^34213824 is an apocalyptic number.

It is an amenable number.

34213824 is an abundant number, since it is smaller than the sum of its proper divisors (63855576).

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

34213824 is a wasteful number, since it uses less digits than its factorization.

34213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59417 (or 59404 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 34213824 is about 5849.2584145343. The cubic root of 34213824 is about 324.6388856919.

The spelling of 34213824 in words is "thirty-four million, two hundred thirteen thousand, eight hundred twenty-four".