3639888345312 has 384 divisors, whose sum is σ = 11392800491520. Its totient is φ = 1140602591232.

The previous prime is 3639888345239. The next prime is 3639888345413. The reversal of 3639888345312 is 2135438889363.

It is a happy number.

3639888345312 is a `hidden beast` number, since 3 + 6 + 3 + 98 + 8 + 8 + 3 + 4 + 531 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3639888345312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1764365593 + ... + 1764367655.

It is an arithmetic number, because the mean of its divisors is an integer number (29668751280).

Almost surely, 2^{3639888345312} is an apocalyptic number.

3639888345312 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 3639888345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5696400245760).

3639888345312 is an abundant number, since it is smaller than the sum of its proper divisors (7752912146208).

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

3639888345312 is a wasteful number, since it uses less digits than its factorization.

3639888345312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3568 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 3639888345312 in words is "three trillion, six hundred thirty-nine billion, eight hundred eighty-eight million, three hundred forty-five thousand, three hundred twelve".