3986281800 has 288 divisors, whose sum is σ = 14171414400. Its totient is φ = 1002101760.

The previous prime is 3986281763. The next prime is 3986281811. The reversal of 3986281800 is 81826893.

3986281800 is a `hidden beast` number, since 3 + 9 + 8 + 628 + 18 + 0 + 0 = 666.

It is a super-2 number, since 2×3986281800² = 31780885178022480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3021541 + ... + 3022859.

It is an arithmetic number, because the mean of its divisors is an integer number (49206300).

Almost surely, 2^3986281800 is an apocalyptic number.

3986281800 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 3986281800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7085707200).

3986281800 is an abundant number, since it is smaller than the sum of its proper divisors (10185132600).

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

3986281800 is a wasteful number, since it uses less digits than its factorization.

3986281800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3986281800 is about 63137.0081647840. The cubic root of 3986281800 is about 1585.5842830568.

The spelling of 3986281800 in words is "three billion, nine hundred eighty-six million, two hundred eighty-one thousand, eight hundred".