33414368 has 48 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 15085056.

The previous prime is 33414361. The next prime is 33414379. The reversal of 33414368 is 86341433.

It is a super-2 number, since 2×33414368² = 2233039977678848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33414361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18698 + ... + 20406.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^33414368 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 33414368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

33414368 is an abundant number, since it is smaller than the sum of its proper divisors (38980192).

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

33414368 is a wasteful number, since it uses less digits than its factorization.

33414368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1779 (or 1771 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 33414368 is about 5780.5162399218. The cubic root of 33414368 is about 322.0903775217.

The spelling of 33414368 in words is "thirty-three million, four hundred fourteen thousand, three hundred sixty-eight".