3879193248 has 384 divisors, whose sum is σ = 13702348800. Its totient is φ = 1043767296.

The previous prime is 3879193243. The next prime is 3879193289. The reversal of 3879193248 is 8423919783.

3879193248 is a `hidden beast` number, since 387 + 9 + 19 + 3 + 248 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 3879193194 and 3879193203.

It is not an unprimeable number, because it can be changed into a prime (3879193243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10989040 + ... + 10989392.

It is an arithmetic number, because the mean of its divisors is an integer number (35683200).

Almost surely, 2^3879193248 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 3879193248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851174400).

3879193248 is an abundant number, since it is smaller than the sum of its proper divisors (9823155552).

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

3879193248 is a wasteful number, since it uses less digits than its factorization.

3879193248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 3879193248 is about 62283.1698615284. The cubic root of 3879193248 is about 1571.2566848845.

The spelling of 3879193248 in words is "three billion, eight hundred seventy-nine million, one hundred ninety-three thousand, two hundred forty-eight".