33672864 has 48 divisors (see below), whose sum is σ = 93048480. Its totient is φ = 10632960.

The previous prime is 33672833. The next prime is 33672887. The reversal of 33672864 is 46827633.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33672864² = 2267723539924992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7407 + ... + 11054.

It is an arithmetic number, because the mean of its divisors is an integer number (1938510).

Almost surely, 2^33672864 is an apocalyptic number.

It is an amenable number.

33672864 is an abundant number, since it is smaller than the sum of its proper divisors (59375616).

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

33672864 is a wasteful number, since it uses less digits than its factorization.

33672864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18493 (or 18485 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 33672864 is about 5802.8324118485. The cubic root of 33672864 is about 322.9188164815.

The spelling of 33672864 in words is "thirty-three million, six hundred seventy-two thousand, eight hundred sixty-four".