3863848320 has 192 divisors, whose sum is σ = 13404268800. Its totient is φ = 1025581056.

The previous prime is 3863848283. The next prime is 3863848337. The reversal of 3863848320 is 238483683.

3863848320 is a `hidden beast` number, since 3 + 8 + 638 + 4 + 8 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 1340641 + ... + 1343519.

It is an arithmetic number, because the mean of its divisors is an integer number (69813900).

Almost surely, 2^3863848320 is an apocalyptic number.

3863848320 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 3863848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6702134400).

3863848320 is an abundant number, since it is smaller than the sum of its proper divisors (9540420480).

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

3863848320 is a wasteful number, since it uses less digits than its factorization.

3863848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3137 (or 3122 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 3863848320 is about 62159.8610037056. The cubic root of 3863848320 is about 1569.1821399179.

The spelling of 3863848320 in words is "three billion, eight hundred sixty-three million, eight hundred forty-eight thousand, three hundred twenty".