33990261984 has 720 divisors, whose sum is σ = 122636384640. Its totient is φ = 9196830720.

The previous prime is 33990261967. The next prime is 33990261989. The reversal of 33990261984 is 48916209933.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 33990261984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33990261989) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 350415024 + ... + 350415120.

It is an arithmetic number, because the mean of its divisors is an integer number (170328312).

Almost surely, 2^33990261984 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 33990261984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61318192320).

33990261984 is an abundant number, since it is smaller than the sum of its proper divisors (88646122656).

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

33990261984 is a wasteful number, since it uses less digits than its factorization.

33990261984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 33990261984 in words is "thirty-three billion, nine hundred ninety million, two hundred sixty-one thousand, nine hundred eighty-four".