3864996000 has 480 divisors, whose sum is σ = 14460526080. Its totient is φ = 1010880000.

The previous prime is 3864995977. The next prime is 3864996001. The reversal of 3864996000 is 6994683.

3864996000 is a `hidden beast` number, since 38 + 6 + 4 + 9 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3864996001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25595925 + ... + 25596075.

It is an arithmetic number, because the mean of its divisors is an integer number (30126096).

Almost surely, 2^3864996000 is an apocalyptic number.

3864996000 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 3864996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7230263040).

3864996000 is an abundant number, since it is smaller than the sum of its proper divisors (10595530080).

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

3864996000 is a wasteful number, since it uses less digits than its factorization.

3864996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3864996000 is about 62169.0919991598. The cubic root of 3864996000 is about 1569.3374894149.

The spelling of 3864996000 in words is "three billion, eight hundred sixty-four million, nine hundred ninety-six thousand".