3861172224 has 312 divisors, whose sum is σ = 13738862592. Its totient is φ = 1017446400.

The previous prime is 3861172193. The next prime is 3861172261. The reversal of 3861172224 is 4222711683.

It is a happy number.

3861172224 is a `hidden beast` number, since 38 + 611 + 7 + 2 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354049 + ... + 3355199.

It is an arithmetic number, because the mean of its divisors is an integer number (44034816).

Almost surely, 2^3861172224 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 3861172224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6869431296).

3861172224 is an abundant number, since it is smaller than the sum of its proper divisors (9877690368).

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

3861172224 is a wasteful number, since it uses less digits than its factorization.

3861172224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1201 (or 1176 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3861172224 is about 62138.3313583492. The cubic root of 3861172224 is about 1568.8197851233.

The spelling of 3861172224 in words is "three billion, eight hundred sixty-one million, one hundred seventy-two thousand, two hundred twenty-four".