34882272 has 96 divisors (see below), whose sum is σ = 104025600. Its totient is φ = 11366784.

The previous prime is 34882219. The next prime is 34882291. The reversal of 34882272 is 27228843.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40179 + ... + 41037.

It is an arithmetic number, because the mean of its divisors is an integer number (1083600).

Almost surely, 2^34882272 is an apocalyptic number.

34882272 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 34882272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52012800).

34882272 is an abundant number, since it is smaller than the sum of its proper divisors (69143328).

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

34882272 is a wasteful number, since it uses less digits than its factorization.

34882272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 911 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 34882272 is about 5906.1215700322. The cubic root of 34882272 is about 326.7394608471.

The spelling of 34882272 in words is "thirty-four million, eight hundred eighty-two thousand, two hundred seventy-two".