3283725667984 has 160 divisors (see below), whose sum is σ = 6889559040000. Its totient is φ = 1511552420352.

The previous prime is 3283725667969. The next prime is 3283725667997. The reversal of 3283725667984 is 4897665273823.

It is a happy number.

3283725667984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413095242 + ... + 413103190.

It is an arithmetic number, because the mean of its divisors is an integer number (43059744000).

Almost surely, 2^{3283725667984} 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 3283725667984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3444779520000).

3283725667984 is an abundant number, since it is smaller than the sum of its proper divisors (3605833372016).

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

3283725667984 is a wasteful number, since it uses less digits than its factorization.

3283725667984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8325 (or 8319 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 70.

The spelling of 3283725667984 in words is "three trillion, two hundred eighty-three billion, seven hundred twenty-five million, six hundred sixty-seven thousand, nine hundred eighty-four".