33105323340 has 144 divisors (see below), whose sum is σ = 102100908000. Its totient is φ = 8681001984.

The previous prime is 33105323281. The next prime is 33105323347. The reversal of 33105323340 is 4332350133.

It is a happy number.

33105323340 is a `hidden beast` number, since 3 + 310 + 5 + 3 + 2 + 3 + 340 = 666.

It is not an unprimeable number, because it can be changed into a prime (33105323347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4582251 + ... + 4589469.

Almost surely, 2^33105323340 is an apocalyptic number.

33105323340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33105323340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51050454000).

33105323340 is an abundant number, since it is smaller than the sum of its proper divisors (68995584660).

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

33105323340 is a wasteful number, since it uses less digits than its factorization.

33105323340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 7651 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 27.

Adding to 33105323340 its reverse (4332350133), we get a palindrome (37437673473).

The spelling of 33105323340 in words is "thirty-three billion, one hundred five million, three hundred twenty-three thousand, three hundred forty".