33780964 has 24 divisors (see below), whose sum is σ = 67737600. Its totient is φ = 14439936.

The previous prime is 33780949. The next prime is 33780973. The reversal of 33780964 is 46908733.

It is a super-2 number, since 2×33780964² = 2282307057538592, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11229 + ... + 13915.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2^33780964 is an apocalyptic number.

It is an amenable number.

33780964 is an abundant number, since it is smaller than the sum of its proper divisors (33956636).

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

33780964 is a wasteful number, since it uses less digits than its factorization.

33780964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 33780964 is about 5812.1393651563. The cubic root of 33780964 is about 323.2640028012.

The spelling of 33780964 in words is "thirty-three million, seven hundred eighty thousand, nine hundred sixty-four".