3836632072 has 128 divisors (see below), whose sum is σ = 9134415360. Its totient is φ = 1470228480.

The previous prime is 3836632069. The next prime is 3836632127. The reversal of 3836632072 is 2702366383.

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, 5163333 + ... + 5164075.

It is an arithmetic number, because the mean of its divisors is an integer number (71362620).

Almost surely, 2^3836632072 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 3836632072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567207680).

3836632072 is an abundant number, since it is smaller than the sum of its proper divisors (5297783288).

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

3836632072 is a wasteful number, since it uses less digits than its factorization.

3836632072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 40.

The square root of 3836632072 is about 61940.5527259807. The cubic root of 3836632072 is about 1565.4891103245.

The spelling of 3836632072 in words is "three billion, eight hundred thirty-six million, six hundred thirty-two thousand, seventy-two".