3786129038928 has 80 divisors (see below), whose sum is σ = 9879843542400. Its totient is φ = 1249272998400.

The previous prime is 3786129038917. The next prime is 3786129038963. The reversal of 3786129038928 is 8298309216873.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22600338 + ... + 22767246.

It is an arithmetic number, because the mean of its divisors is an integer number (123498044280).

Almost surely, 2^{3786129038928} 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 3786129038928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939921771200).

3786129038928 is an abundant number, since it is smaller than the sum of its proper divisors (6093714503472).

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

3786129038928 is a wasteful number, since it uses less digits than its factorization.

3786129038928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171700 (or 171694 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 3786129038928 in words is "three trillion, seven hundred eighty-six billion, one hundred twenty-nine million, thirty-eight thousand, nine hundred twenty-eight".