3738966704208 has 480 divisors, whose sum is σ = 11610856857600. Its totient is φ = 1162210291200.

The previous prime is 3738966704197. The next prime is 3738966704233. The reversal of 3738966704208 is 8024076698373.

3738966704208 is a `hidden beast` number, since 3 + 7 + 3 + 89 + 66 + 70 + 420 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2834697373 + ... + 2834698691.

It is an arithmetic number, because the mean of its divisors is an integer number (24189285120).

Almost surely, 2^{3738966704208} 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 3738966704208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805428428800).

3738966704208 is an abundant number, since it is smaller than the sum of its proper divisors (7871890153392).

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

3738966704208 is a wasteful number, since it uses less digits than its factorization.

3738966704208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3738966704208 in words is "three trillion, seven hundred thirty-eight billion, nine hundred sixty-six million, seven hundred four thousand, two hundred eight".