33930480 has 80 divisors (see below), whose sum is σ = 108055584. Its totient is φ = 8801280.

The previous prime is 33930439. The next prime is 33930499. The reversal of 33930480 is 8403933.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6970 + ... + 10790.

Almost surely, 2^33930480 is an apocalyptic number.

33930480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33930480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54027792).

33930480 is an abundant number, since it is smaller than the sum of its proper divisors (74125104).

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

33930480 is a wasteful number, since it uses less digits than its factorization.

33930480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874 (or 3868 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 33930480 is about 5824.9875536348. The cubic root of 33930480 is about 323.7402276881.

The spelling of 33930480 in words is "thirty-three million, nine hundred thirty thousand, four hundred eighty".