3833836160 has 128 divisors (see below), whose sum is σ = 11426970240. Its totient is φ = 1194946560.

The previous prime is 3833836129. The next prime is 3833836229. The reversal of 3833836160 is 616383383.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10382 + ... + 88178.

It is an arithmetic number, because the mean of its divisors is an integer number (89273205).

Almost surely, 2^3833836160 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 3833836160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5713485120).

3833836160 is an abundant number, since it is smaller than the sum of its proper divisors (7593134080).

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

3833836160 is a wasteful number, since it uses less digits than its factorization.

3833836160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77834 (or 77822 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 41.

The square root of 3833836160 is about 61917.9792951934. The cubic root of 3833836160 is about 1565.1087390888.

The spelling of 3833836160 in words is "three billion, eight hundred thirty-three million, eight hundred thirty-six thousand, one hundred sixty".