33946480 has 20 divisors (see below), whose sum is σ = 78925752. Its totient is φ = 13578560.

The previous prime is 33946463. The next prime is 33946481. The reversal of 33946480 is 8464933.

33946480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33946481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212086 + ... + 212245.

Almost surely, 2^33946480 is an apocalyptic number.

It is an amenable number.

33946480 is an abundant number, since it is smaller than the sum of its proper divisors (44979272).

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

33946480 is a wasteful number, since it uses less digits than its factorization.

33946480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424344 (or 424338 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 37.

The square root of 33946480 is about 5826.3607852587. The cubic root of 33946480 is about 323.7911065210.

The spelling of 33946480 in words is "thirty-three million, nine hundred forty-six thousand, four hundred eighty".