3589640540992 has 84 divisors (see below), whose sum is σ = 7832436898468. Its totient is φ = 1631068876800.

The previous prime is 3589640540971. The next prime is 3589640540999. The reversal of 3589640540992 is 2990450469853.

It can be written as a sum of positive squares in 2 ways, for example, as 656449966656 + 2933190574336 = 810216^2 + 1712656^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3589640540999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21856942 + ... + 22020562.

Almost surely, 2^{3589640540992} is an apocalyptic number.

3589640540992 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 3589640540992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916218449234).

3589640540992 is an abundant number, since it is smaller than the sum of its proper divisors (4242796357476).

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

3589640540992 is a wasteful number, since it uses less digits than its factorization.

3589640540992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166488 (or 166467 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 64.

The spelling of 3589640540992 in words is "three trillion, five hundred eighty-nine billion, six hundred forty million, five hundred forty thousand, nine hundred ninety-two".