3864815136 has 576 divisors, whose sum is σ = 14371209216. Its totient is φ = 958003200.

The previous prime is 3864815117. The next prime is 3864815153. The reversal of 3864815136 is 6315184683.

3864815136 is a `hidden beast` number, since 38 + 6 + 481 + 5 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3864815091 and 3864815100.

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, 54433981 + ... + 54434051.

It is an arithmetic number, because the mean of its divisors is an integer number (24950016).

Almost surely, 2^3864815136 is an apocalyptic number.

3864815136 is a gapful number since it is divisible by the number (36) 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 3864815136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185604608).

3864815136 is an abundant number, since it is smaller than the sum of its proper divisors (10506394080).

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

3864815136 is a wasteful number, since it uses less digits than its factorization.

3864815136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 194 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3864815136 is about 62167.6373686503. The cubic root of 3864815136 is about 1569.3130097791.

The spelling of 3864815136 in words is "three billion, eight hundred sixty-four million, eight hundred fifteen thousand, one hundred thirty-six".