3666586752 has 192 divisors, whose sum is σ = 11031471360. Its totient is φ = 1167575040.

The previous prime is 3666586751. The next prime is 3666586753. The reversal of 3666586752 is 2576856663.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3666586751) and next prime (3666586753).

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

It is not an unprimeable number, because it can be changed into a prime (3666586751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2963478 + ... + 2964714.

It is an arithmetic number, because the mean of its divisors is an integer number (57455580).

Almost surely, 2^3666586752 is an apocalyptic number.

3666586752 is a gapful number since it is divisible by the number (32) 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 3666586752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5515735680).

3666586752 is an abundant number, since it is smaller than the sum of its proper divisors (7364884608).

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

3666586752 is a wasteful number, since it uses less digits than its factorization.

3666586752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1356 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3666586752 is about 60552.3472047121. The cubic root of 3666586752 is about 1542.0104669055.

The spelling of 3666586752 in words is "three billion, six hundred sixty-six million, five hundred eighty-six thousand, seven hundred fifty-two".