33364968 has 64 divisors (see below), whose sum is σ = 102668160. Its totient is φ = 8798976.

The previous prime is 33364951. The next prime is 33365011. The reversal of 33364968 is 86946333.

It is a super-2 number, since 2×33364968² = 2226442179282048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5455 + ... + 9822.

It is an arithmetic number, because the mean of its divisors is an integer number (1604190).

Almost surely, 2^33364968 is an apocalyptic number.

It is an amenable number.

33364968 is an abundant number, since it is smaller than the sum of its proper divisors (69303192).

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

33364968 is a wasteful number, since it uses less digits than its factorization.

33364968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15306 (or 15302 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 33364968 is about 5776.2416846943. The cubic root of 33364968 is about 321.9315724612.

The spelling of 33364968 in words is "thirty-three million, three hundred sixty-four thousand, nine hundred sixty-eight".