3806831564144 has 240 divisors, whose sum is σ = 8957661672960. Its totient is φ = 1534385341440.

The previous prime is 3806831564099. The next prime is 3806831564161. The reversal of 3806831564144 is 4414651386083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1778061314 + ... + 1778063454.

It is an arithmetic number, because the mean of its divisors is an integer number (37323590304).

Almost surely, 2^{3806831564144} 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 3806831564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478830836480).

3806831564144 is an abundant number, since it is smaller than the sum of its proper divisors (5150830108816).

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

3806831564144 is a wasteful number, since it uses less digits than its factorization.

3806831564144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2696 (or 2661 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 53.

The spelling of 3806831564144 in words is "three trillion, eight hundred six billion, eight hundred thirty-one million, five hundred sixty-four thousand, one hundred forty-four".