3786838128 has 480 divisors, whose sum is σ = 12635191296. Its totient is φ = 1091211264.

The previous prime is 3786838103. The next prime is 3786838141. The reversal of 3786838128 is 8218386873.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 71449750 + ... + 71449802.

Almost surely, 2^3786838128 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 3786838128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317595648).

3786838128 is an abundant number, since it is smaller than the sum of its proper divisors (8848353168).

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

3786838128 is a wasteful number, since it uses less digits than its factorization.

3786838128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3786838128 is about 61537.2905480896. The cubic root of 3786838128 is about 1558.6870017135.

The spelling of 3786838128 in words is "three billion, seven hundred eighty-six million, eight hundred thirty-eight thousand, one hundred twenty-eight".