33788400906792 has 128 divisors (see below), whose sum is σ = 99899992800000. Its totient is φ = 9317877037056.

The previous prime is 33788400906787. The next prime is 33788400906797. The reversal of 33788400906792 is 29760900488733.

It is an interprime number because it is at equal distance from previous prime (33788400906787) and next prime (33788400906797).

It is a super-2 number, since 2×33788400906792² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33788400906797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13717434 + ... + 15992022.

It is an arithmetic number, because the mean of its divisors is an integer number (780468693750).

Almost surely, 2^{33788400906792} 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 33788400906792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49949996400000).

33788400906792 is an abundant number, since it is smaller than the sum of its proper divisors (66111591893208).

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

33788400906792 is a wasteful number, since it uses less digits than its factorization.

33788400906792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277683 (or 2277679 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 33788400906792 in words is "thirty-three trillion, seven hundred eighty-eight billion, four hundred million, nine hundred six thousand, seven hundred ninety-two".