34079292 has 168 divisors, whose sum is σ = 102829440. Its totient is φ = 9797760.

The previous prime is 34079267. The next prime is 34079303. The reversal of 34079292 is 29297043.

It is a super-2 number, since 2×34079292² = 2322796286442528, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1099317 + ... + 1099347.

It is an arithmetic number, because the mean of its divisors is an integer number (612080).

Almost surely, 2^34079292 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 34079292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51414720).

34079292 is an abundant number, since it is smaller than the sum of its proper divisors (68750148).

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

34079292 is a wasteful number, since it uses less digits than its factorization.

34079292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 34079292 is about 5837.7471682148. The cubic root of 34079292 is about 324.2128231370.

The spelling of 34079292 in words is "thirty-four million, seventy-nine thousand, two hundred ninety-two".