3836533960 has 256 divisors, whose sum is σ = 10989158400. Its totient is φ = 1175731200.

The previous prime is 3836533937. The next prime is 3836533969. The reversal of 3836533960 is 693356383.

3836533960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3836533960.

It is not an unprimeable number, because it can be changed into a prime (3836533969) 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, 7091290 + ... + 7091830.

It is an arithmetic number, because the mean of its divisors is an integer number (42926400).

Almost surely, 2^3836533960 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 3836533960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494579200).

3836533960 is an abundant number, since it is smaller than the sum of its proper divisors (7152624440).

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

3836533960 is a wasteful number, since it uses less digits than its factorization.

3836533960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 46.

The square root of 3836533960 is about 61939.7607357342. The cubic root of 3836533960 is about 1565.4757657578.

The spelling of 3836533960 in words is "three billion, eight hundred thirty-six million, five hundred thirty-three thousand, nine hundred sixty".