33724404 has 96 divisors (see below), whose sum is σ = 103219200. Its totient is φ = 9318240.

The previous prime is 33724403. The next prime is 33724421. The reversal of 33724404 is 40442733.

It is a super-2 number, since 2×33724404² = 2274670850310432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33724403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22717 + ... + 24155.

It is an arithmetic number, because the mean of its divisors is an integer number (1075200).

Almost surely, 2^33724404 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 33724404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51609600).

33724404 is an abundant number, since it is smaller than the sum of its proper divisors (69494796).

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

33724404 is a wasteful number, since it uses less digits than its factorization.

33724404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 33724404 is about 5807.2716485455. The cubic root of 33724404 is about 323.0834866798.

It can be divided in two parts, 3372 and 4404, that added together give a 5-th power (7776 = 6⁵).

The spelling of 33724404 in words is "thirty-three million, seven hundred twenty-four thousand, four hundred four".