3586672944 has 120 divisors (see below), whose sum is σ = 10304452080. Its totient is φ = 1164201984.

The previous prime is 3586672939. The next prime is 3586672961. The reversal of 3586672944 is 4492766853.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 856584 + ... + 860760.

It is an arithmetic number, because the mean of its divisors is an integer number (85870434).

Almost surely, 2^3586672944 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 3586672944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152226040).

3586672944 is an abundant number, since it is smaller than the sum of its proper divisors (6717779136).

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

3586672944 is a wasteful number, since it uses less digits than its factorization.

3586672944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4347 (or 4338 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3586672944 is about 59888.8382254991. The cubic root of 3586672944 is about 1530.7252949772.

The spelling of 3586672944 in words is "three billion, five hundred eighty-six million, six hundred seventy-two thousand, nine hundred forty-four".