33413840 has 80 divisors (see below), whose sum is σ = 83566080. Its totient is φ = 12380160.

The previous prime is 33413813. The next prime is 33413843. The reversal of 33413840 is 4831433.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×33413840³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33413843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107285 + ... + 107595.

It is an arithmetic number, because the mean of its divisors is an integer number (1044576).

Almost surely, 2^33413840 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 33413840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41783040).

33413840 is an abundant number, since it is smaller than the sum of its proper divisors (50152240).

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

33413840 is a wasteful number, since it uses less digits than its factorization.

33413840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 33413840 is about 5780.4705690800. The cubic root of 33413840 is about 322.0886809999.

The spelling of 33413840 in words is "thirty-three million, four hundred thirteen thousand, eight hundred forty".