3986611200 has 792 divisors, whose sum is σ = 16907990736. Its totient is φ = 892108800.

The previous prime is 3986611193. The next prime is 3986611271. The reversal of 3986611200 is 21166893.

3986611200 is a `hidden beast` number, since 39 + 8 + 6 + 611 + 2 + 0 + 0 = 666.

3986611200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 306662394 + ... + 306662406.

Almost surely, 2^3986611200 is an apocalyptic number.

3986611200 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 3986611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453995368).

3986611200 is an abundant number, since it is smaller than the sum of its proper divisors (12921379536).

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

3986611200 is a wasteful number, since it uses less digits than its factorization.

3986611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3986611200 is about 63139.6167235754. The cubic root of 3986611200 is about 1585.6279559248.

The spelling of 3986611200 in words is "three billion, nine hundred eighty-six million, six hundred eleven thousand, two hundred".