3586357861632 has 1296 divisors, whose sum is σ = 13719952646400. Its totient is φ = 895144255488.

The previous prime is 3586357861607. The next prime is 3586357861633. The reversal of 3586357861632 is 2361687536853.

It is a happy number.

3586357861632 is a `hidden beast` number, since 3 + 5 + 8 + 6 + 3 + 5 + 7 + 8 + 616 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3586357861632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3586357861633) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3708746013 + ... + 3708746979.

Almost surely, 2^{3586357861632} is an apocalyptic number.

3586357861632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3586357861632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6859976323200).

3586357861632 is an abundant number, since it is smaller than the sum of its proper divisors (10133594784768).

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

3586357861632 is a wasteful number, since it uses less digits than its factorization.

3586357861632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1011 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 3586357861632 in words is "three trillion, five hundred eighty-six billion, three hundred fifty-seven million, eight hundred sixty-one thousand, six hundred thirty-two".