33338480 has 80 divisors (see below), whose sum is σ = 91035840. Its totient is φ = 11114496.

The previous prime is 33338471. The next prime is 33338489. The reversal of 33338480 is 8483333.

It is an interprime number because it is at equal distance from previous prime (33338471) and next prime (33338489).

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

It is a super-2 number, since 2×33338480² = 2222908497420800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33338489) 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, 19916 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (1137948).

Almost surely, 2^33338480 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 33338480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45517920).

33338480 is an abundant number, since it is smaller than the sum of its proper divisors (57697360).

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

33338480 is a wasteful number, since it uses less digits than its factorization.

33338480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

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

The square root of 33338480 is about 5773.9483891008. The cubic root of 33338480 is about 321.8463575229.

The spelling of 33338480 in words is "thirty-three million, three hundred thirty-eight thousand, four hundred eighty".