3876307864 has 64 divisors (see below), whose sum is σ = 8548001280. Its totient is φ = 1624656000.

The previous prime is 3876307837. The next prime is 3876307867. The reversal of 3876307864 is 4687036783.

3876307864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876307867) 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, 2070849 + ... + 2072719.

It is an arithmetic number, because the mean of its divisors is an integer number (133562520).

Almost surely, 2^3876307864 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 3876307864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274000640).

3876307864 is an abundant number, since it is smaller than the sum of its proper divisors (4671693416).

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

3876307864 is a wasteful number, since it uses less digits than its factorization.

3876307864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The square root of 3876307864 is about 62260.0021201413. The cubic root of 3876307864 is about 1570.8670159388.

The spelling of 3876307864 in words is "three billion, eight hundred seventy-six million, three hundred seven thousand, eight hundred sixty-four".