3783573864 has 96 divisors (see below), whose sum is σ = 11731487040. Its totient is φ = 1079136000.

The previous prime is 3783573811. The next prime is 3783573869. The reversal of 3783573864 is 4683753873.

3783573864 is a `hidden beast` number, since 3 + 7 + 8 + 3 + 573 + 8 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3783573864.

It is not an unprimeable number, because it can be changed into a prime (3783573869) 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, 296659 + ... + 309149.

It is an arithmetic number, because the mean of its divisors is an integer number (122202990).

Almost surely, 2^3783573864 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 3783573864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865743520).

3783573864 is an abundant number, since it is smaller than the sum of its proper divisors (7947913176).

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

3783573864 is a wasteful number, since it uses less digits than its factorization.

3783573864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13111 (or 13104 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The square root of 3783573864 is about 61510.7621802884. The cubic root of 3783573864 is about 1558.2390089253.

Subtracting 3783573864 from its reverse (4683753873), we obtain a square (900180009 = 30003²).

The spelling of 3783573864 in words is "three billion, seven hundred eighty-three million, five hundred seventy-three thousand, eight hundred sixty-four".