33724116 has 36 divisors (see below), whose sum is σ = 85909824. Its totient is φ = 11154000.

The previous prime is 33724111. The next prime is 33724123. The reversal of 33724116 is 61142733.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×33724116² = 2274631999962912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33724116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33724111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1141 + ... + 8291.

It is an arithmetic number, because the mean of its divisors is an integer number (2386384).

Almost surely, 2^33724116 is an apocalyptic number.

33724116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

33724116 is an abundant number, since it is smaller than the sum of its proper divisors (52185708).

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

33724116 is a wasteful number, since it uses less digits than its factorization.

33724116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7292 (or 7287 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 33724116 is about 5807.2468519945. The cubic root of 33724116 is about 323.0825669867.

Adding to 33724116 its reverse (61142733), we get a palindrome (94866849).

The spelling of 33724116 in words is "thirty-three million, seven hundred twenty-four thousand, one hundred sixteen".