3586664448 has 144 divisors (see below), whose sum is σ = 10744100640. Its totient is φ = 1195388928.

The previous prime is 3586664401. The next prime is 3586664467. The reversal of 3586664448 is 8444666853.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 3586664394 and 3586664403.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 494061 + ... + 501267.

It is an arithmetic number, because the mean of its divisors is an integer number (74611810).

Almost surely, 2^3586664448 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 3586664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5372050320).

3586664448 is an abundant number, since it is smaller than the sum of its proper divisors (7157436192).

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

3586664448 is an frugal number, since it uses more digits than its factorization.

3586664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7244 (or 7212 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The square root of 3586664448 is about 59888.7672940427. The cubic root of 3586664448 is about 1530.7240863313.

The spelling of 3586664448 in words is "three billion, five hundred eighty-six million, six hundred sixty-four thousand, four hundred forty-eight".