33863868 has 36 divisors (see below), whose sum is σ = 87691968. Its totient is φ = 11012160.

The previous prime is 33863861. The next prime is 33863899. The reversal of 33863868 is 86836833.

It is a happy number.

33863868 is a `hidden beast` number, since 3 + 3 + 8 + 638 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33863868² = 2293523111842848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33863861) 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 11 ways as a sum of consecutive naturals, for example, 9996 + ... + 12947.

It is an arithmetic number, because the mean of its divisors is an integer number (2435888).

Almost surely, 2^33863868 is an apocalyptic number.

It is an amenable number.

33863868 is an abundant number, since it is smaller than the sum of its proper divisors (53828100).

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

33863868 is a wasteful number, since it uses less digits than its factorization.

33863868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22994 (or 22989 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 33863868 is about 5819.2669641459. The cubic root of 33863868 is about 323.5282343072.

The spelling of 33863868 in words is "thirty-three million, eight hundred sixty-three thousand, eight hundred sixty-eight".