3785566736 has 240 divisors, whose sum is σ = 9404398080. Its totient is φ = 1467648000.

The previous prime is 3785566703. The next prime is 3785566747. The reversal of 3785566736 is 6376655873.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28897391 + ... + 28897521.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^3785566736 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 3785566736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4702199040).

3785566736 is an abundant number, since it is smaller than the sum of its proper divisors (5618831344).

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

3785566736 is a wasteful number, since it uses less digits than its factorization.

3785566736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 56.

The square root of 3785566736 is about 61526.9594243044. The cubic root of 3785566736 is about 1558.5125444717.

The spelling of 3785566736 in words is "three billion, seven hundred eighty-five million, five hundred sixty-six thousand, seven hundred thirty-six".