3861430272 has 480 divisors, whose sum is σ = 13840780800. Its totient is φ = 1040449536.

The previous prime is 3861430271. The next prime is 3861430327. The reversal of 3861430272 is 2720341683.

It is a happy number.

3861430272 is a `hidden beast` number, since 3 + 8 + 614 + 30 + 2 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3861430271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89800683 + ... + 89800725.

It is an arithmetic number, because the mean of its divisors is an integer number (28834960).

Almost surely, 2^3861430272 is an apocalyptic number.

3861430272 is a gapful number since it is divisible by the number (32) 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 3861430272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920390400).

3861430272 is an abundant number, since it is smaller than the sum of its proper divisors (9979350528).

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

3861430272 is an equidigital number, since it uses as much as digits as its factorization.

3861430272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3861430272 is about 62140.4077231555. The cubic root of 3861430272 is about 1568.8547332139.

It can be divided in two parts, 38614 and 30272, that added together give a palindrome (68886).

The spelling of 3861430272 in words is "three billion, eight hundred sixty-one million, four hundred thirty thousand, two hundred seventy-two".