3861144000 has 672 divisors, whose sum is σ = 16219846656. Its totient is φ = 858470400.

The previous prime is 3861143999. The next prime is 3861144019. The reversal of 3861144000 is 4411683.

3861144000 is a `hidden beast` number, since 3 + 8 + 611 + 4 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23687919 + ... + 23688081.

Almost surely, 2^3861144000 is an apocalyptic number.

3861144000 is a gapful number since it is divisible by the number (30) 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 3861144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8109923328).

3861144000 is an abundant number, since it is smaller than the sum of its proper divisors (12358702656).

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

3861144000 is a wasteful number, since it uses less digits than its factorization.

3861144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3861144000 is about 62138.1042517391. The cubic root of 3861144000 is about 1568.8159625814.

Adding to 3861144000 its reverse (4411683), we get a palindrome (3865555683).

The spelling of 3861144000 in words is "three billion, eight hundred sixty-one million, one hundred forty-four thousand".