33466368 has 96 divisors (see below), whose sum is σ = 96314400. Its totient is φ = 10272768.

The previous prime is 33466361. The next prime is 33466457. The reversal of 33466368 is 86366433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33466368² = 2239995574222848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33466361) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 79663 + ... + 80081.

It is an arithmetic number, because the mean of its divisors is an integer number (1003275).

Almost surely, 2^33466368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48157200).

33466368 is an abundant number, since it is smaller than the sum of its proper divisors (62848032).

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

33466368 is a wasteful number, since it uses less digits than its factorization.

33466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 437 counting only the distinct ones).

The product of its digits is 186624, while the sum is 39.

The square root of 33466368 is about 5785.0123595374. The cubic root of 33466368 is about 322.2573717414.

The spelling of 33466368 in words is "thirty-three million, four hundred sixty-six thousand, three hundred sixty-eight".