3861567000 has 512 divisors, whose sum is σ = 14556672000. Its totient is φ = 943257600.

The previous prime is 3861566981. The next prime is 3861567013. The reversal of 3861567000 is 7651683.

3861567000 is a `hidden beast` number, since 38 + 61 + 567 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21572911 + ... + 21573089.

It is an arithmetic number, because the mean of its divisors is an integer number (28431000).

Almost surely, 2^3861567000 is an apocalyptic number.

3861567000 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 3861567000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7278336000).

3861567000 is an abundant number, since it is smaller than the sum of its proper divisors (10695105000).

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

3861567000 is a wasteful number, since it uses less digits than its factorization.

3861567000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3861567000 is about 62141.5078671253. The cubic root of 3861567000 is about 1568.8732500002.

The spelling of 3861567000 in words is "three billion, eight hundred sixty-one million, five hundred sixty-seven thousand".