3786718336128 has 1280 divisors, whose sum is σ = 14484002480640. Its totient is φ = 955435253760.

The previous prime is 3786718336109. The next prime is 3786718336207. The reversal of 3786718336128 is 8216338176873.

3786718336128 is a `hidden beast` number, since 3 + 7 + 8 + 6 + 7 + 1 + 8 + 3 + 3 + 612 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2050198501 + ... + 2050200347.

It is an arithmetic number, because the mean of its divisors is an integer number (11315626938).

Almost surely, 2^{3786718336128} 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 3786718336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7242001240320).

3786718336128 is an abundant number, since it is smaller than the sum of its proper divisors (10697284144512).

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

3786718336128 is a wasteful number, since it uses less digits than its factorization.

3786718336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1987 (or 1966 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 3786718336128 in words is "three trillion, seven hundred eighty-six billion, seven hundred eighteen million, three hundred thirty-six thousand, one hundred twenty-eight".