3801088000 has 168 divisors, whose sum is σ = 9814666680. Its totient is φ = 1468006400.

The previous prime is 3801087991. The next prime is 3801088043. The reversal of 3801088000 is 8801083.

It can be written as a sum of positive squares in 4 ways, for example, as 150994944 + 3650093056 = 12288^2 + 60416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3801088000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131071986 + ... + 131072014.

It is an arithmetic number, because the mean of its divisors is an integer number (58420635).

Almost surely, 2^3801088000 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 3801088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907333340).

3801088000 is an abundant number, since it is smaller than the sum of its proper divisors (6013578680).

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

3801088000 is an frugal number, since it uses more digits than its factorization.

3801088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 3801088000 is about 61652.9642434166. The cubic root of 3801088000 is about 1560.6396675435.

Adding to 3801088000 its reverse (8801083), we get a palindrome (3809889083).

The spelling of 3801088000 in words is "three billion, eight hundred one million, eighty-eight thousand".