3738348280128 has 448 divisors, whose sum is σ = 12632577914880. Its totient is φ = 947358720000.

The previous prime is 3738348280087. The next prime is 3738348280133. The reversal of 3738348280128 is 8210828438373.

It is a tau number, because it is divible by the number of its divisors (448).

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, 679573378 + ... + 679578878.

It is an arithmetic number, because the mean of its divisors is an integer number (28197718560).

Almost surely, 2^{3738348280128} 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 3738348280128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6316288957440).

3738348280128 is an abundant number, since it is smaller than the sum of its proper divisors (8894229634752).

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

3738348280128 is a wasteful number, since it uses less digits than its factorization.

3738348280128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6646 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 3738348280128 in words is "three trillion, seven hundred thirty-eight billion, three hundred forty-eight million, two hundred eighty thousand, one hundred twenty-eight".