3864167670 has 192 divisors, whose sum is σ = 10987425792. Its totient is φ = 866553600.

The previous prime is 3864167663. The next prime is 3864167689. The reversal of 3864167670 is 767614683.

3864167670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 2587444 + ... + 2588936.

It is an arithmetic number, because the mean of its divisors is an integer number (57226176).

Almost surely, 2^3864167670 is an apocalyptic number.

3864167670 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3864167670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5493712896).

3864167670 is an abundant number, since it is smaller than the sum of its proper divisors (7123258122).

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

3864167670 is a wasteful number, since it uses less digits than its factorization.

3864167670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1579 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 3864167670 is about 62162.4297305052. The cubic root of 3864167670 is about 1569.2253700924.

The spelling of 3864167670 in words is "three billion, eight hundred sixty-four million, one hundred sixty-seven thousand, six hundred seventy".