34636896 has 240 divisors, whose sum is σ = 122943744. Its totient is φ = 9351936.

The previous prime is 34636891. The next prime is 34636897. The reversal of 34636896 is 69863643.

34636896 is a `hidden beast` number, since 3 + 4 + 636 + 8 + 9 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34636891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 417271 + ... + 417353.

Almost surely, 2^34636896 is an apocalyptic number.

34636896 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 34636896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61471872).

34636896 is an abundant number, since it is smaller than the sum of its proper divisors (88306848).

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

34636896 is a wasteful number, since it uses less digits than its factorization.

34636896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 34636896 is about 5885.3118863829. The cubic root of 34636896 is about 325.9715182062.

The spelling of 34636896 in words is "thirty-four million, six hundred thirty-six thousand, eight hundred ninety-six".