34872320 has 132 divisors (see below), whose sum is σ = 98010360. Its totient is φ = 11870208.

The previous prime is 34872317. The next prime is 34872337. The reversal of 34872320 is 2327843.

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, 250811 + ... + 250949.

Almost surely, 2^34872320 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 34872320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49005180).

34872320 is an abundant number, since it is smaller than the sum of its proper divisors (63138040).

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

34872320 is a wasteful number, since it uses less digits than its factorization.

34872320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 34872320 is about 5905.2789942559. The cubic root of 34872320 is about 326.7083846947.

The spelling of 34872320 in words is "thirty-four million, eight hundred seventy-two thousand, three hundred twenty".