3864463680 has 448 divisors, whose sum is σ = 15969374208. Its totient is φ = 767754240.

The previous prime is 3864463661. The next prime is 3864463693. The reversal of 3864463680 is 863644683.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1699024 + ... + 1701296.

Almost surely, 2^3864463680 is an apocalyptic number.

3864463680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3864463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7984687104).

3864463680 is an abundant number, since it is smaller than the sum of its proper divisors (12104910528).

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

3864463680 is a wasteful number, since it uses less digits than its factorization.

3864463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The square root of 3864463680 is about 62164.8106246613. The cubic root of 3864463680 is about 1569.2654386213.

The spelling of 3864463680 in words is "three billion, eight hundred sixty-four million, four hundred sixty-three thousand, six hundred eighty".