33484960 has 96 divisors (see below), whose sum is σ = 84091392. Its totient is φ = 12579840.

The previous prime is 33484933. The next prime is 33484967. The reversal of 33484960 is 6948433.

It is a super-2 number, since 2×33484960² = 2242485092403200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33484967) 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, 213202 + ... + 213358.

It is an arithmetic number, because the mean of its divisors is an integer number (875952).

Almost surely, 2^33484960 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 33484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42045696).

33484960 is an abundant number, since it is smaller than the sum of its proper divisors (50606432).

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

33484960 is a wasteful number, since it uses less digits than its factorization.

33484960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 238 counting only the distinct ones).

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

The square root of 33484960 is about 5786.6190474231. The cubic root of 33484960 is about 322.3170366155.

The spelling of 33484960 in words is "thirty-three million, four hundred eighty-four thousand, nine hundred sixty".