3836036016 has 160 divisors (see below), whose sum is σ = 11484979200. Its totient is φ = 1224357120.

The previous prime is 3836035967. The next prime is 3836036089. The reversal of 3836036016 is 6106306383.

3836036016 is a `hidden beast` number, since 38 + 3 + 603 + 6 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589851 + ... + 1592261.

It is an arithmetic number, because the mean of its divisors is an integer number (71781120).

Almost surely, 2^3836036016 is an apocalyptic number.

3836036016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3836036016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742489600).

3836036016 is an abundant number, since it is smaller than the sum of its proper divisors (7648943184).

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

3836036016 is a wasteful number, since it uses less digits than its factorization.

3836036016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3836036016 is about 61935.7410224500. The cubic root of 3836036016 is about 1565.4080350926.

The spelling of 3836036016 in words is "three billion, eight hundred thirty-six million, thirty-six thousand, sixteen".