34874112 has 144 divisors (see below), whose sum is σ = 114464000. Its totient is φ = 9179136.

The previous prime is 34874111. The next prime is 34874113. The reversal of 34874112 is 21147843.

It is an interprime number because it is at equal distance from previous prime (34874111) and next prime (34874113).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 34874112.

It is not an unprimeable number, because it can be changed into a prime (34874111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69639 + ... + 70137.

Almost surely, 2^34874112 is an apocalyptic number.

34874112 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 34874112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57232000).

34874112 is an abundant number, since it is smaller than the sum of its proper divisors (79589888).

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

34874112 is a wasteful number, since it uses less digits than its factorization.

34874112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 524 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 34874112 is about 5905.4307209551. The cubic root of 34874112 is about 326.7139808370.

The spelling of 34874112 in words is "thirty-four million, eight hundred seventy-four thousand, one hundred twelve".