3863578048 has 112 divisors (see below), whose sum is σ = 8583216768. Its totient is φ = 1710720000.

The previous prime is 3863578001. The next prime is 3863578057. The reversal of 3863578048 is 8408753683.

It is a junction number, because it is equal to n+sod(n) for n = 3863577986 and 3863578004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4763563 + ... + 4764373.

It is an arithmetic number, because the mean of its divisors is an integer number (76635864).

Almost surely, 2^3863578048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3863578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291608384).

3863578048 is an abundant number, since it is smaller than the sum of its proper divisors (4719638720).

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

3863578048 is a wasteful number, since it uses less digits than its factorization.

3863578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The square root of 3863578048 is about 62157.6869582516. The cubic root of 3863578048 is about 1569.1455515351.

The spelling of 3863578048 in words is "three billion, eight hundred sixty-three million, five hundred seventy-eight thousand, forty-eight".