33973483104 has 192 divisors, whose sum is σ = 109712897280. Its totient is φ = 10141148160.

The previous prime is 33973483087. The next prime is 33973483127. The reversal of 33973483104 is 40138437933.

It is a happy number.

It is a super-3 number, since 3×33973483104³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33973483104.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 610092 + ... + 663444.

It is an arithmetic number, because the mean of its divisors is an integer number (571421340).

Almost surely, 2^33973483104 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 33973483104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54856448640).

33973483104 is an abundant number, since it is smaller than the sum of its proper divisors (75739414176).

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

33973483104 is a wasteful number, since it uses less digits than its factorization.

33973483104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53450 (or 53436 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 33973483104 in words is "thirty-three billion, nine hundred seventy-three million, four hundred eighty-three thousand, one hundred four".