3863466432 has 168 divisors, whose sum is σ = 12684593376. Its totient is φ = 1101348864.

The previous prime is 3863466413. The next prime is 3863466437. The reversal of 3863466432 is 2346643683.

3863466432 is a `hidden beast` number, since 3 + 8 + 634 + 6 + 6 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3863466437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2486968 + ... + 2488520.

It is an arithmetic number, because the mean of its divisors is an integer number (75503532).

Almost surely, 2^3863466432 is an apocalyptic number.

3863466432 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 3863466432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342296688).

3863466432 is an abundant number, since it is smaller than the sum of its proper divisors (8821126944).

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

3863466432 is a wasteful number, since it uses less digits than its factorization.

3863466432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195 (or 2182 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 3863466432 is about 62156.7891062593. The cubic root of 3863466432 is about 1569.1304408929.

The spelling of 3863466432 in words is "three billion, eight hundred sixty-three million, four hundred sixty-six thousand, four hundred thirty-two".