3827973006 has 160 divisors (see below), whose sum is σ = 10153836000. Its totient is φ = 1062616320.

The previous prime is 3827972999. The next prime is 3827973067. The reversal of 3827973006 is 6003797283.

It is a happy number.

3827973006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3451180 + ... + 3452288.

It is an arithmetic number, because the mean of its divisors is an integer number (63461475).

Almost surely, 2^3827973006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3827973006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076918000).

3827973006 is an abundant number, since it is smaller than the sum of its proper divisors (6325862994).

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

3827973006 is a wasteful number, since it uses less digits than its factorization.

3827973006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3827973006 is about 61870.6150446236. The cubic root of 3827973006 is about 1564.3104824537.

The spelling of 3827973006 in words is "three billion, eight hundred twenty-seven million, nine hundred seventy-three thousand, six".