34194132 has 72 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 9430848.

The previous prime is 34194119. The next prime is 34194133. The reversal of 34194132 is 23149143.

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

It is a junction number, because it is equal to n+sod(n) for n = 34194096 and 34194105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34194133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4969 + ... + 9647.

It is an arithmetic number, because the mean of its divisors is an integer number (1419600).

Almost surely, 2^34194132 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 34194132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

34194132 is an abundant number, since it is smaller than the sum of its proper divisors (68017068).

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

34194132 is a wasteful number, since it uses less digits than its factorization.

34194132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4725 (or 4720 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 34194132 is about 5847.5748819489. The cubic root of 34194132 is about 324.5765910300.

The spelling of 34194132 in words is "thirty-four million, one hundred ninety-four thousand, one hundred thirty-two".