34009992 has 72 divisors (see below), whose sum is σ = 94747770. Its totient is φ = 11020800.

The previous prime is 34009991. The next prime is 34010023. The reversal of 34009992 is 29990043.

It can be written as a sum of positive squares in 3 ways, for example, as 14243076 + 19766916 = 3774^2 + 4446^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (34009991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 120892 + ... + 121172.

Almost surely, 2^34009992 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 34009992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47373885).

34009992 is an abundant number, since it is smaller than the sum of its proper divisors (60737778).

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

34009992 is a wasteful number, since it uses less digits than its factorization.

34009992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 34009992 is about 5831.8086388358. The cubic root of 34009992 is about 323.9929125107.

The spelling of 34009992 in words is "thirty-four million, nine thousand, nine hundred ninety-two".