34249392 has 120 divisors (see below), whose sum is σ = 103993344. Its totient is φ = 10891584.

The previous prime is 34249387. The next prime is 34249429. The reversal of 34249392 is 29394243.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89233 + ... + 89615.

Almost surely, 2^34249392 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 34249392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51996672).

34249392 is an abundant number, since it is smaller than the sum of its proper divisors (69743952).

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

34249392 is a wasteful number, since it uses less digits than its factorization.

34249392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 411 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 34249392 is about 5852.2980101837. The cubic root of 34249392 is about 324.7513427399.

The spelling of 34249392 in words is "thirty-four million, two hundred forty-nine thousand, three hundred ninety-two".