3858831144 has 384 divisors, whose sum is σ = 13570560000. Its totient is φ = 1009169280.

The previous prime is 3858831107. The next prime is 3858831167. The reversal of 3858831144 is 4411388583.

3858831144 is a `hidden beast` number, since 38 + 588 + 31 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3858831144.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6233667 + ... + 6234285.

It is an arithmetic number, because the mean of its divisors is an integer number (35340000).

Almost surely, 2^3858831144 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 3858831144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785280000).

3858831144 is an abundant number, since it is smaller than the sum of its proper divisors (9711728856).

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

3858831144 is a wasteful number, since it uses less digits than its factorization.

3858831144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 681 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 3858831144 is about 62119.4908543204. The cubic root of 3858831144 is about 1568.5026555976.

The spelling of 3858831144 in words is "three billion, eight hundred fifty-eight million, eight hundred thirty-one thousand, one hundred forty-four".