33836964 has 48 divisors (see below), whose sum is σ = 91392000. Its totient is φ = 9543456.

The previous prime is 33836947. The next prime is 33836969. The reversal of 33836964 is 46963833.

It is a super-2 number, since 2×33836964² = 2289880265474592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (33836969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4087 + ... + 9185.

It is an arithmetic number, because the mean of its divisors is an integer number (1904000).

Almost surely, 2^33836964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33836964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696000).

33836964 is an abundant number, since it is smaller than the sum of its proper divisors (57555036).

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

33836964 is a wasteful number, since it uses less digits than its factorization.

33836964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5190 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 33836964 is about 5816.9548734712. The cubic root of 33836964 is about 323.4425332317.

The spelling of 33836964 in words is "thirty-three million, eight hundred thirty-six thousand, nine hundred sixty-four".