3864012480 has 168 divisors, whose sum is σ = 13313664000. Its totient is φ = 1028616192.

The previous prime is 3864012479. The next prime is 3864012491. The reversal of 3864012480 is 842104683.

3864012480 is a `hidden beast` number, since 3 + 8 + 6 + 401 + 248 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3020481 + ... + 3021759.

It is an arithmetic number, because the mean of its divisors is an integer number (79248000).

Almost surely, 2^3864012480 is an apocalyptic number.

3864012480 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 3864012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832000).

3864012480 is an abundant number, since it is smaller than the sum of its proper divisors (9449651520).

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

3864012480 is a wasteful number, since it uses less digits than its factorization.

3864012480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3864012480 is about 62161.1814559537. The cubic root of 3864012480 is about 1569.2043624338.

The spelling of 3864012480 in words is "three billion, eight hundred sixty-four million, twelve thousand, four hundred eighty".