34806096 has 60 divisors (see below), whose sum is σ = 104907348. Its totient is φ = 10708992.

The previous prime is 34806073. The next prime is 34806097. The reversal of 34806096 is 69060843.

34806096 is a `hidden beast` number, since 3 + 48 + 0 + 609 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12110400 + 22695696 = 3480^2 + 4764^2 .

It is a super-2 number, since 2×34806096² = 2422928637522432, which contains 22 as substring.

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 34806096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34806097) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7425 + ... + 11168.

Almost surely, 2^34806096 is an apocalyptic number.

34806096 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34806096 is an abundant number, since it is smaller than the sum of its proper divisors (70101252).

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

34806096 is a wasteful number, since it uses less digits than its factorization.

34806096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18620 (or 18611 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 34806096 is about 5899.6691432656. The cubic root of 34806096 is about 326.5014426617.

The spelling of 34806096 in words is "thirty-four million, eight hundred six thousand, ninety-six".