3863220480 has 360 divisors, whose sum is σ = 15801035712. Its totient is φ = 882855936.

The previous prime is 3863220451. The next prime is 3863220497. The reversal of 3863220480 is 840223683.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 723099 + ... + 728421.

Almost surely, 2^3863220480 is an apocalyptic number.

3863220480 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 3863220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900517856).

3863220480 is an abundant number, since it is smaller than the sum of its proper divisors (11937815232).

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

3863220480 is an equidigital number, since it uses as much as digits as its factorization.

3863220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3863220480 is about 62154.8105941929. The cubic root of 3863220480 is about 1569.0971427338.

The spelling of 3863220480 in words is "three billion, eight hundred sixty-three million, two hundred twenty thousand, four hundred eighty".