33027850240 has 612 divisors, whose sum is σ = 107314119108. Its totient is φ = 9688842240.

The previous prime is 33027850183. The next prime is 33027850241. The reversal of 33027850240 is 4205872033.

It can be written as a sum of positive squares in 2 ways, for example, as 19039584256 + 13988265984 = 137984^2 + 118272^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 33027850196 and 33027850205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33027850241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1942814712 + ... + 1942814728.

Almost surely, 2^33027850240 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 33027850240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53657059554).

33027850240 is an abundant number, since it is smaller than the sum of its proper divisors (74286268868).

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

33027850240 is an equidigital number, since it uses as much as digits as its factorization.

33027850240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 33027850240 in words is "thirty-three billion, twenty-seven million, eight hundred fifty thousand, two hundred forty".