3887733636864 has 864 divisors, whose sum is σ = 14149327256064. Its totient is φ = 997314232320.

The previous prime is 3887733636847. The next prime is 3887733636881. The reversal of 3887733636864 is 4686363377883.

3887733636864 is a `hidden beast` number, since 3 + 8 + 87 + 73 + 363 + 68 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3887733636847) and next prime (3887733636881).

It is a super-2 number, since 2×3887733636864² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 3887733636792 and 3887733636801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6046241727 + ... + 6046242369.

It is an arithmetic number, because the mean of its divisors is an integer number (16376536176).

Almost surely, 2^{3887733636864} 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 3887733636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7074663628032).

3887733636864 is an abundant number, since it is smaller than the sum of its proper divisors (10261593619200).

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

3887733636864 is a wasteful number, since it uses less digits than its factorization.

3887733636864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1036 counting only the distinct ones).

The product of its digits is 1755758592, while the sum is 72.

The spelling of 3887733636864 in words is "three trillion, eight hundred eighty-seven billion, seven hundred thirty-three million, six hundred thirty-six thousand, eight hundred sixty-four".