33961248 has 96 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 10821888.

The previous prime is 33961247. The next prime is 33961253. The reversal of 33961248 is 84216933.

33961248 is a `hidden beast` number, since 3 + 39 + 612 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33961241) 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, 19018 + ... + 20726.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 2^33961248 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 33961248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

33961248 is an abundant number, since it is smaller than the sum of its proper divisors (69459552).

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

33961248 is a wasteful number, since it uses less digits than its factorization.

33961248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1737 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 33961248 is about 5827.6279908724. The cubic root of 33961248 is about 323.8380534977.

The spelling of 33961248 in words is "thirty-three million, nine hundred sixty-one thousand, two hundred forty-eight".