34082496 has 168 divisors, whose sum is σ = 114117120. Its totient is φ = 9524736.

The previous prime is 34082491. The next prime is 34082497. The reversal of 34082496 is 69428043.

It is a happy number.

34082496 is a `hidden beast` number, since 3 + 408 + 249 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34082496.

It is not an unprimeable number, because it can be changed into a prime (34082491) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 318475 + ... + 318581.

Almost surely, 2^34082496 is an apocalyptic number.

34082496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34082496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058560).

34082496 is an abundant number, since it is smaller than the sum of its proper divisors (80034624).

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

34082496 is a wasteful number, since it uses less digits than its factorization.

34082496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 34082496 is about 5838.0215826939. The cubic root of 34082496 is about 324.2229832203. Note that the first 3 decimals are identical.

The spelling of 34082496 in words is "thirty-four million, eighty-two thousand, four hundred ninety-six".