3858678144 has 96 divisors (see below), whose sum is σ = 11313432000. Its totient is φ = 1261937664.

The previous prime is 3858678127. The next prime is 3858678149. The reversal of 3858678144 is 4418768583.

3858678144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3858678149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29457 + ... + 92655.

It is an arithmetic number, because the mean of its divisors is an integer number (117848250).

Almost surely, 2^3858678144 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 3858678144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656716000).

3858678144 is an abundant number, since it is smaller than the sum of its proper divisors (7454753856).

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

3858678144 is a wasteful number, since it uses less digits than its factorization.

3858678144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63272 (or 63257 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 3858678144 is about 62118.2593445760. The cubic root of 3858678144 is about 1568.4819253065.

The spelling of 3858678144 in words is "three billion, eight hundred fifty-eight million, six hundred seventy-eight thousand, one hundred forty-four".