3760585640 has 256 divisors, whose sum is σ = 11039846400. Its totient is φ = 1121734656.

The previous prime is 3760585639. The next prime is 3760585649. The reversal of 3760585640 is 465850673.

3760585640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3760585591 and 3760585600.

It is not an unprimeable number, because it can be changed into a prime (3760585649) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3888437 + ... + 3889403.

It is an arithmetic number, because the mean of its divisors is an integer number (43124400).

Almost surely, 2^3760585640 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 3760585640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519923200).

3760585640 is an abundant number, since it is smaller than the sum of its proper divisors (7279260760).

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

3760585640 is a wasteful number, since it uses less digits than its factorization.

3760585640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 3760585640 is about 61323.6140487496. The cubic root of 3760585640 is about 1555.0767482444.

The spelling of 3760585640 in words is "three billion, seven hundred sixty million, five hundred eighty-five thousand, six hundred forty".