33988764 has 48 divisors (see below), whose sum is σ = 81139968. Its totient is φ = 11071488.

The previous prime is 33988753. The next prime is 33988769. The reversal of 33988764 is 46788933.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33988769) 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, 132124 + ... + 132380.

It is an arithmetic number, because the mean of its divisors is an integer number (1690416).

Almost surely, 2^33988764 is an apocalyptic number.

It is an amenable number.

33988764 is an abundant number, since it is smaller than the sum of its proper divisors (47151204).

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

33988764 is a wasteful number, since it uses less digits than its factorization.

33988764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 472 counting only the distinct ones).

The product of its digits is 870912, while the sum is 48.

The square root of 33988764 is about 5829.9883361804. The cubic root of 33988764 is about 323.9254896487.

The spelling of 33988764 in words is "thirty-three million, nine hundred eighty-eight thousand, seven hundred sixty-four".