3675585744 has 240 divisors, whose sum is σ = 11081790720. Its totient is φ = 1135088640.

The previous prime is 3675585743. The next prime is 3675585769. The reversal of 3675585744 is 4475855763.

3675585744 is a `hidden beast` number, since 3 + 67 + 5 + 5 + 8 + 574 + 4 = 666.

It is a super-2 number, since 2×3675585744² = 27019861122992067072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675585743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11972439 + ... + 11972745.

It is an arithmetic number, because the mean of its divisors is an integer number (46174128).

Almost surely, 2^3675585744 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 3675585744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540895360).

3675585744 is an abundant number, since it is smaller than the sum of its proper divisors (7406204976).

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

3675585744 is a wasteful number, since it uses less digits than its factorization.

3675585744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 449 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The square root of 3675585744 is about 60626.6092075089. The cubic root of 3675585744 is about 1543.2709673599.

The spelling of 3675585744 in words is "three billion, six hundred seventy-five million, five hundred eighty-five thousand, seven hundred forty-four".