3587666688 has 288 divisors, whose sum is σ = 11030405120. Its totient is φ = 1149603840.

The previous prime is 3587666671. The next prime is 3587666713. The reversal of 3587666688 is 8866667853.

3587666688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (69672960) is a multiple of the sum of its prime factors (280).

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, 28249281 + ... + 28249407.

Almost surely, 2^3587666688 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 3587666688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515202560).

3587666688 is an abundant number, since it is smaller than the sum of its proper divisors (7442738432).

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

3587666688 is a wasteful number, since it uses less digits than its factorization.

3587666688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 260 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The square root of 3587666688 is about 59897.1342219309. The cubic root of 3587666688 is about 1530.8666524076.

The spelling of 3587666688 in words is "three billion, five hundred eighty-seven million, six hundred sixty-six thousand, six hundred eighty-eight".