33849981440 has 160 divisors (see below), whose sum is σ = 88776103680. Its totient is φ = 12276121600.

The previous prime is 33849981419. The next prime is 33849981481. The reversal of 33849981440 is 4418994833.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×33849981440² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12135566 + ... + 12138354.

It is an arithmetic number, because the mean of its divisors is an integer number (554850648).

Almost surely, 2^33849981440 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 33849981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44388051840).

33849981440 is an abundant number, since it is smaller than the sum of its proper divisors (54926122240).

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

33849981440 is a wasteful number, since it uses less digits than its factorization.

33849981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 33849981440 in words is "thirty-three billion, eight hundred forty-nine million, nine hundred eighty-one thousand, four hundred forty".