33749664 has 48 divisors (see below), whose sum is σ = 95411232. Its totient is φ = 10384128.

The previous prime is 33749663. The next prime is 33749693. The reversal of 33749664 is 46694733.

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

It is a super-2 number, since 2×33749664² = 2278079640225792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33749663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12274 + ... + 14769.

It is an arithmetic number, because the mean of its divisors is an integer number (1987734).

Almost surely, 2^33749664 is an apocalyptic number.

It is an amenable number.

33749664 is an abundant number, since it is smaller than the sum of its proper divisors (61661568).

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

33749664 is a wasteful number, since it uses less digits than its factorization.

33749664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27069 (or 27061 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 33749664 is about 5809.4461009635. The cubic root of 33749664 is about 323.1641310715.

The spelling of 33749664 in words is "thirty-three million, seven hundred forty-nine thousand, six hundred sixty-four".