33344480 has 192 divisors, whose sum is σ = 96018048. Its totient is φ = 10813440.

The previous prime is 33344471. The next prime is 33344489. The reversal of 33344480 is 8444333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33344471) and next prime (33344489).

It is a super-2 number, since 2×33344480² = 2223708692940800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33344489) 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, 813260 + ... + 813300.

It is an arithmetic number, because the mean of its divisors is an integer number (500094).

Almost surely, 2^33344480 is an apocalyptic number.

33344480 is the 4715-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33344480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

33344480 is an abundant number, since it is smaller than the sum of its proper divisors (62673568).

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

33344480 is a wasteful number, since it uses less digits than its factorization.

33344480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 33344480 is about 5774.4679408583. The cubic root of 33344480 is about 321.8656641651.

The spelling of 33344480 in words is "thirty-three million, three hundred forty-four thousand, four hundred eighty".