34792112 has 40 divisors (see below), whose sum is σ = 70308000. Its totient is φ = 16658432.

The previous prime is 34792111. The next prime is 34792127. The reversal of 34792112 is 21129743.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (34792111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77264 + ... + 77712.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^34792112 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 34792112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154000).

34792112 is an abundant number, since it is smaller than the sum of its proper divisors (35515888).

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

34792112 is a wasteful number, since it uses less digits than its factorization.

34792112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 647 counting only the distinct ones).

The product of its digits is 3024, while the sum is 29.

The square root of 34792112 is about 5898.4838729965. The cubic root of 34792112 is about 326.4577107843.

The spelling of 34792112 in words is "thirty-four million, seven hundred ninety-two thousand, one hundred twelve".