3864478000 has 80 divisors (see below), whose sum is σ = 9412210080. Its totient is φ = 1534560000.

The previous prime is 3864477973. The next prime is 3864478003. The reversal of 3864478000 is 8744683.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3864478003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271050 + ... + 284950.

It is an arithmetic number, because the mean of its divisors is an integer number (117652626).

Almost surely, 2^3864478000 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 3864478000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4706105040).

3864478000 is an abundant number, since it is smaller than the sum of its proper divisors (5547732080).

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

3864478000 is a wasteful number, since it uses less digits than its factorization.

3864478000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14063 (or 14047 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 3864478000 is about 62164.9258022560. The cubic root of 3864478000 is about 1569.2673769543.

3864478000 divided by its sum of digits (40) gives a triangular number (96611950 = T₁₃₉₀₀).

The spelling of 3864478000 in words is "three billion, eight hundred sixty-four million, four hundred seventy-eight thousand".