3367581984 has 144 divisors (see below), whose sum is σ = 10761895872. Its totient is φ = 991102464.

The previous prime is 3367581949. The next prime is 3367582033. The reversal of 3367581984 is 4891857633.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3367581984² = 22681216837922752512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3367581984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66559 + ... + 105665.

It is an arithmetic number, because the mean of its divisors is an integer number (74735388).

Almost surely, 2^3367581984 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 3367581984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5380947936).

3367581984 is an abundant number, since it is smaller than the sum of its proper divisors (7394313888).

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

3367581984 is a wasteful number, since it uses less digits than its factorization.

3367581984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39159 (or 39148 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 3367581984 is about 58030.8709567589. The cubic root of 3367581984 is about 1498.9002285322.

The spelling of 3367581984 in words is "three billion, three hundred sixty-seven million, five hundred eighty-one thousand, nine hundred eighty-four".