3586160640 has 192 divisors, whose sum is σ = 11590750080. Its totient is φ = 946503680.

The previous prime is 3586160629. The next prime is 3586160687. The reversal of 3586160640 is 460616853.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3286495 + ... + 3287585.

It is an arithmetic number, because the mean of its divisors is an integer number (60368490).

Almost surely, 2^3586160640 is an apocalyptic number.

3586160640 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 3586160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5795375040).

3586160640 is an abundant number, since it is smaller than the sum of its proper divisors (8004589440).

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

3586160640 is a wasteful number, since it uses less digits than its factorization.

3586160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3586160640 is about 59884.5609485450. The cubic root of 3586160640 is about 1530.6524109010.

The spelling of 3586160640 in words is "three billion, five hundred eighty-six million, one hundred sixty thousand, six hundred forty".