3827601536 has 64 divisors (see below), whose sum is σ = 8329564800. Its totient is φ = 1737507840.

The previous prime is 3827601529. The next prime is 3827601593. The reversal of 3827601536 is 6351067283.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3827601493 and 3827601502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1503881 + ... + 1506423.

It is an arithmetic number, because the mean of its divisors is an integer number (130149450).

Almost surely, 2^3827601536 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 3827601536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164782400).

3827601536 is an abundant number, since it is smaller than the sum of its proper divisors (4501963264).

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

3827601536 is a wasteful number, since it uses less digits than its factorization.

3827601536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3625 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 3827601536 is about 61867.6129812683. The cubic root of 3827601536 is about 1564.2598801104.

The spelling of 3827601536 in words is "three billion, eight hundred twenty-seven million, six hundred one thousand, five hundred thirty-six".