34207992 has 192 divisors, whose sum is σ = 119508480. Its totient is φ = 8591616.

The previous prime is 34207967. The next prime is 34208003. The reversal of 34207992 is 29970243.

34207992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150583 + ... + 150809.

It is an arithmetic number, because the mean of its divisors is an integer number (622440).

Almost surely, 2^34207992 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 34207992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).

34207992 is an abundant number, since it is smaller than the sum of its proper divisors (85300488).

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

34207992 is a wasteful number, since it uses less digits than its factorization.

34207992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 275 counting only the distinct ones).

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

The square root of 34207992 is about 5848.7598685533. The cubic root of 34207992 is about 324.6204389420.

The spelling of 34207992 in words is "thirty-four million, two hundred seven thousand, nine hundred ninety-two".