33764920 has 128 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 10969728.

The previous prime is 33764911. The next prime is 33764947. The reversal of 33764920 is 2946733.

It is a super-2 number, since 2×33764920² = 2280139645212800, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315507 + ... + 315613.

It is an arithmetic number, because the mean of its divisors is an integer number (729000).

Almost surely, 2^33764920 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 33764920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656000).

33764920 is an abundant number, since it is smaller than the sum of its proper divisors (59547080).

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

33764920 is a wasteful number, since it uses less digits than its factorization.

33764920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 34.

The square root of 33764920 is about 5810.7589865697. The cubic root of 33764920 is about 323.2128174752.

The spelling of 33764920 in words is "thirty-three million, seven hundred sixty-four thousand, nine hundred twenty".