3713628006 has 128 divisors (see below), whose sum is σ = 9260697600. Its totient is φ = 1093387680.

The previous prime is 3713627989. The next prime is 3713628059. The reversal of 3713628006 is 6008263173.

It is a happy number.

3713628006 is a `hidden beast` number, since 371 + 3 + 6 + 280 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8862865 + ... + 8863283.

It is an arithmetic number, because the mean of its divisors is an integer number (72349200).

Almost surely, 2^3713628006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3713628006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4630348800).

3713628006 is an abundant number, since it is smaller than the sum of its proper divisors (5547069594).

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

3713628006 is a wasteful number, since it uses less digits than its factorization.

3713628006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3713628006 is about 60939.5438611088. The cubic root of 3713628006 is about 1548.5769812992.

The spelling of 3713628006 in words is "three billion, seven hundred thirteen million, six hundred twenty-eight thousand, six".