33464400 has 120 divisors (see below), whose sum is σ = 108862080. Its totient is φ = 8785920.

The previous prime is 33464399. The next prime is 33464401. The reversal of 33464400 is 446433.

It is an interprime number because it is at equal distance from previous prime (33464399) and next prime (33464401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×33464400² = 2239732134720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33464401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94624 + ... + 94976.

It is an arithmetic number, because the mean of its divisors is an integer number (907184).

Almost surely, 2^33464400 is an apocalyptic number.

33464400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54431040).

33464400 is an abundant number, since it is smaller than the sum of its proper divisors (75397680).

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

33464400 is a wasteful number, since it uses less digits than its factorization.

33464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 33464400 is about 5784.8422623266. The cubic root of 33464400 is about 322.2510548032.

The spelling of 33464400 in words is "thirty-three million, four hundred sixty-four thousand, four hundred".