3738213188748 has 360 divisors, whose sum is σ = 10371073204800. Its totient is φ = 1173164114304.

The previous prime is 3738213188741. The next prime is 3738213188783. The reversal of 3738213188748 is 8478813128373.

3738213188748 is a `hidden beast` number, since 3 + 7 + 382 + 1 + 3 + 188 + 74 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738213188741) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2308963483 + ... + 2308965101.

It is an arithmetic number, because the mean of its divisors is an integer number (28808536680).

Almost surely, 2^{3738213188748} 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 3738213188748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185536602400).

3738213188748 is an abundant number, since it is smaller than the sum of its proper divisors (6632860016052).

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

3738213188748 is a wasteful number, since it uses less digits than its factorization.

3738213188748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1779 counting only the distinct ones).

The product of its digits is 43352064, while the sum is 63.

The spelling of 3738213188748 in words is "three trillion, seven hundred thirty-eight billion, two hundred thirteen million, one hundred eighty-eight thousand, seven hundred forty-eight".