33538540 has 48 divisors (see below), whose sum is σ = 82152000. Its totient is φ = 11496576.

The previous prime is 33538523. The next prime is 33538543. The reversal of 33538540 is 4583533.

It is a super-2 number, since 2×33538540² = 2249667330663200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33538543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4416 + ... + 9304.

It is an arithmetic number, because the mean of its divisors is an integer number (1711500).

Almost surely, 2^33538540 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 33538540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41076000).

33538540 is an abundant number, since it is smaller than the sum of its proper divisors (48613460).

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

33538540 is a wasteful number, since it uses less digits than its factorization.

33538540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4919 (or 4903 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 33538540 is about 5791.2468432972. The cubic root of 33538540 is about 322.4888604609.

The spelling of 33538540 in words is "thirty-three million, five hundred thirty-eight thousand, five hundred forty".