3987035136 has 462 divisors, whose sum is σ = 14028316170. Its totient is φ = 1128701952.

The previous prime is 3987035123. The next prime is 3987035149. The reversal of 3987035136 is 6315307893.

It is an interprime number because it is at equal distance from previous prime (3987035123) and next prime (3987035149).

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 329204736 = 60480^2 + 18144^2 .

It is a nialpdrome in base 12 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3987035091 and 3987035100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 36578250 + ... + 36578358.

Almost surely, 2^3987035136 is an apocalyptic number.

3987035136 is a gapful number since it is divisible by the number (36) 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 3987035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014158085).

3987035136 is an abundant number, since it is smaller than the sum of its proper divisors (10041281034).

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

3987035136 is an equidigital number, since it uses as much as digits as its factorization.

3987035136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 3987035136 is about 63142.9737658910. The cubic root of 3987035136 is about 1585.6841591271.

The spelling of 3987035136 in words is "three billion, nine hundred eighty-seven million, thirty-five thousand, one hundred thirty-six".