3783636864 has 384 divisors, whose sum is σ = 12984192000. Its totient is φ = 1035251712.

The previous prime is 3783636859. The next prime is 3783636889. The reversal of 3783636864 is 4686363873.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3783636864.

It is a congruent number.

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, 25393462 + ... + 25393610.

It is an arithmetic number, because the mean of its divisors is an integer number (33813000).

Almost surely, 2^3783636864 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 3783636864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492096000).

3783636864 is an abundant number, since it is smaller than the sum of its proper divisors (9200555136).

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

3783636864 is a wasteful number, since it uses less digits than its factorization.

3783636864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3783636864 is about 61511.2742836628. The cubic root of 3783636864 is about 1558.2476575836.

The spelling of 3783636864 in words is "three billion, seven hundred eighty-three million, six hundred thirty-six thousand, eight hundred sixty-four".