33873644 has 12 divisors (see below), whose sum is σ = 67747344. Its totient is φ = 14517264.

The previous prime is 33873629. The next prime is 33873649. The reversal of 33873644 is 44637833.

It is a happy number.

33873644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

33873644 is an admirable number.

It is a super-2 number, since 2×33873644² = 2294847515677472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 33873598 and 33873607.

It is not an unprimeable number, because it can be changed into a prime (33873649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 604859 + ... + 604914.

It is an arithmetic number, because the mean of its divisors is an integer number (5645612).

Almost surely, 2^33873644 is an apocalyptic number.

It is an amenable number.

33873644 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

33873644 is a wasteful number, since it uses less digits than its factorization.

33873644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209784 (or 1209782 counting only the distinct ones).

The product of its digits is 145152, while the sum is 38.

The square root of 33873644 is about 5820.1068718710. The cubic root of 33873644 is about 323.5593639241.

The spelling of 33873644 in words is "thirty-three million, eight hundred seventy-three thousand, six hundred forty-four".