3863466720 has 384 divisors, whose sum is σ = 13990354560. Its totient is φ = 1007769600.

The previous prime is 3863466697. The next prime is 3863466731. The reversal of 3863466720 is 276643683.

3863466720 is a `hidden beast` number, since 3 + 8 + 634 + 6 + 6 + 7 + 2 + 0 = 666.

3863466720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21345030 + ... + 21345210.

It is an arithmetic number, because the mean of its divisors is an integer number (36433215).

Almost surely, 2^3863466720 is an apocalyptic number.

3863466720 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 3863466720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6995177280).

3863466720 is an abundant number, since it is smaller than the sum of its proper divisors (10126887840).

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

3863466720 is an equidigital number, since it uses as much as digits as its factorization.

3863466720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3863466720 is about 62156.7914229813. The cubic root of 3863466720 is about 1569.1304798829.

The spelling of 3863466720 in words is "three billion, eight hundred sixty-three million, four hundred sixty-six thousand, seven hundred twenty".