3987806764032 has 3168 divisors, whose sum is σ = 16755273400320. Its totient is φ = 922310737920.

The previous prime is 3987806763991. The next prime is 3987806764043. The reversal of 3987806764032 is 2304676087893.

3987806764032 is a `hidden beast` number, since 3 + 9 + 87 + 80 + 6 + 76 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 128638927857 + ... + 128638927887.

Almost surely, 2^{3987806764032} is an apocalyptic number.

3987806764032 is a gapful number since it is divisible by the number (32) 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 3987806764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8377636700160).

3987806764032 is an abundant number, since it is smaller than the sum of its proper divisors (12767466636288).

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

3987806764032 is a wasteful number, since it uses less digits than its factorization.

3987806764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3987806764032 in words is "three trillion, nine hundred eighty-seven billion, eight hundred six million, seven hundred sixty-four thousand, thirty-two".