3786131986560 has 768 divisors, whose sum is σ = 16449787411200. Its totient is φ = 779501076480.

The previous prime is 3786131986543. The next prime is 3786131986619. The reversal of 3786131986560 is 656891316873.

3786131986560 is a `hidden beast` number, since 3 + 7 + 8 + 61 + 3 + 1 + 9 + 8 + 6 + 560 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48304522 + ... + 48382838.

It is an arithmetic number, because the mean of its divisors is an integer number (21418994025).

Almost surely, 2^{3786131986560} is an apocalyptic number.

3786131986560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786131986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8224893705600).

3786131986560 is an abundant number, since it is smaller than the sum of its proper divisors (12663655424640).

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

3786131986560 is a wasteful number, since it uses less digits than its factorization.

3786131986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78469 (or 78454 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3786131986560 in words is "three trillion, seven hundred eighty-six billion, one hundred thirty-one million, nine hundred eighty-six thousand, five hundred sixty".