33000274944 has 792 divisors, whose sum is σ = 124909905120. Its totient is φ = 8169652224.

The previous prime is 33000274943. The next prime is 33000274961. The reversal of 33000274944 is 44947200033.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 33000274899 and 33000274908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000274943) 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 71 ways as a sum of consecutive naturals, for example, 302754762 + ... + 302754870.

Almost surely, 2^33000274944 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 33000274944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62454952560).

33000274944 is an abundant number, since it is smaller than the sum of its proper divisors (91909630176).

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

33000274944 is a wasteful number, since it uses less digits than its factorization.

33000274944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 33000274944 its reverse (44947200033), we get a palindrome (77947474977).

The spelling of 33000274944 in words is "thirty-three billion, two hundred seventy-four thousand, nine hundred forty-four".