33768380 has 48 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 13094400.

The previous prime is 33768353. The next prime is 33768391. The reversal of 33768380 is 8386733.

It is a super-2 number, since 2×33768380² = 2280606975648800, which contains 22 as substring.

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

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 108425 + ... + 108735.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^33768380 is an apocalyptic number.

It is an amenable number.

33768380 is an abundant number, since it is smaller than the sum of its proper divisors (39351940).

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

33768380 is a wasteful number, since it uses less digits than its factorization.

33768380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 33768380 is about 5811.0567025284. The cubic root of 33768380 is about 323.2238573173.

The spelling of 33768380 in words is "thirty-three million, seven hundred sixty-eight thousand, three hundred eighty".