33466464 has 72 divisors (see below), whose sum is σ = 98476560. Its totient is φ = 10768128.

The previous prime is 33466457. The next prime is 33466469. The reversal of 33466464 is 46466433.

33466464 is a `hidden beast` number, since 3 + 3 + 4 + 6 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33466464² = 2240008425326592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33466469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6349 + ... + 10355.

It is an arithmetic number, because the mean of its divisors is an integer number (1367730).

Almost surely, 2^33466464 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 33466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49238280).

33466464 is an abundant number, since it is smaller than the sum of its proper divisors (65010096).

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

33466464 is a wasteful number, since it uses less digits than its factorization.

33466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4041 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 33466464 is about 5785.0206568343. The cubic root of 33466464 is about 322.2576798784.

It can be divided in two parts, 33466 and 464, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 33466464 in words is "thirty-three million, four hundred sixty-six thousand, four hundred sixty-four".