3867462144 has 480 divisors, whose sum is σ = 14370580224. Its totient is φ = 973209600.

The previous prime is 3867462139. The next prime is 3867462161. The reversal of 3867462144 is 4412647683.

3867462144 is a `hidden beast` number, since 386 + 74 + 62 + 144 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3867462144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9644344 + ... + 9644744.

Almost surely, 2^3867462144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3867462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185290112).

3867462144 is an abundant number, since it is smaller than the sum of its proper divisors (10503118080).

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

3867462144 is a wasteful number, since it uses less digits than its factorization.

3867462144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 3867462144 is about 62188.9230008046. The cubic root of 3867462144 is about 1569.6712016505.

The spelling of 3867462144 in words is "three billion, eight hundred sixty-seven million, four hundred sixty-two thousand, one hundred forty-four".