3986654560 has 192 divisors, whose sum is σ = 11186380800. Its totient is φ = 1313832960.

The previous prime is 3986654543. The next prime is 3986654593. The reversal of 3986654560 is 654566893.

It is a junction number, because it is equal to n+sod(n) for n = 3986654498 and 3986654507.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6908992 + ... + 6909568.

It is an arithmetic number, because the mean of its divisors is an integer number (58262400).

Almost surely, 2^3986654560 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 3986654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593190400).

3986654560 is an abundant number, since it is smaller than the sum of its proper divisors (7199726240).

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

3986654560 is a wasteful number, since it uses less digits than its factorization.

3986654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 52.

The square root of 3986654560 is about 63139.9600886792. The cubic root of 3986654560 is about 1585.6337045482.

It can be divided in two parts, 398665 and 4560, that added together give a square (403225 = 635²).

The spelling of 3986654560 in words is "three billion, nine hundred eighty-six million, six hundred fifty-four thousand, five hundred sixty".