34423872 has 84 divisors (see below), whose sum is σ = 105978960. Its totient is φ = 9832704.

The previous prime is 34423859. The next prime is 34423889. The reversal of 34423872 is 27832443.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7579 + ... + 11237.

Almost surely, 2^34423872 is an apocalyptic number.

34423872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52989480).

34423872 is an abundant number, since it is smaller than the sum of its proper divisors (71555088).

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

34423872 is a wasteful number, since it uses less digits than its factorization.

34423872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3671 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 34423872 is about 5867.1860376163. The cubic root of 34423872 is about 325.3018796669.

The spelling of 34423872 in words is "thirty-four million, four hundred twenty-three thousand, eight hundred seventy-two".