3867536640 has 576 divisors, whose sum is σ = 14599065600. Its totient is φ = 862617600.

The previous prime is 3867536639. The next prime is 3867536707. The reversal of 3867536640 is 466357683.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3867536640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48956121 + ... + 48956199.

It is an arithmetic number, because the mean of its divisors is an integer number (25345600).

Almost surely, 2^3867536640 is an apocalyptic number.

3867536640 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 3867536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7299532800).

3867536640 is an abundant number, since it is smaller than the sum of its proper divisors (10731528960).

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

3867536640 is a wasteful number, since it uses less digits than its factorization.

3867536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The square root of 3867536640 is about 62189.5219470290. The cubic root of 3867536640 is about 1569.6812800491.

It can be divided in two parts, 386753 and 6640, that added together give a palindrome (393393).

The spelling of 3867536640 in words is "three billion, eight hundred sixty-seven million, five hundred thirty-six thousand, six hundred forty".