3866462600 has 576 divisors, whose sum is σ = 12824179200. Its totient is φ = 1064448000.

The previous prime is 3866462597. The next prime is 3866462603. The reversal of 3866462600 is 62646683.

It is an interprime number because it is at equal distance from previous prime (3866462597) and next prime (3866462603).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3866462603) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43443356 + ... + 43443444.

It is an arithmetic number, because the mean of its divisors is an integer number (22264200).

Almost surely, 2^3866462600 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 3866462600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6412089600).

3866462600 is an abundant number, since it is smaller than the sum of its proper divisors (8957716600).

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

3866462600 is a wasteful number, since it uses less digits than its factorization.

3866462600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The square root of 3866462600 is about 62180.8861307074. The cubic root of 3866462600 is about 1569.5359630403.

The spelling of 3866462600 in words is "three billion, eight hundred sixty-six million, four hundred sixty-two thousand, six hundred".