3786987987216 has 240 divisors, whose sum is σ = 12829010283648. Its totient is φ = 1018018713600.

The previous prime is 3786987987179. The next prime is 3786987987239. The reversal of 3786987987216 is 6127897896873.

3786987987216 is a `hidden beast` number, since 378 + 6 + 9 + 87 + 98 + 72 + 16 = 666.

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 47 ways as a sum of consecutive naturals, for example, 55160751 + ... + 55229361.

Almost surely, 2^{3786987987216} is an apocalyptic number.

3786987987216 is a gapful number since it is divisible by the number (36) 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 3786987987216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414505141824).

3786987987216 is an abundant number, since it is smaller than the sum of its proper divisors (9042022296432).

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

3786987987216 is a wasteful number, since it uses less digits than its factorization.

3786987987216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71870 (or 71861 counting only the distinct ones).

The product of its digits is 3072577536, while the sum is 81.

The spelling of 3786987987216 in words is "three trillion, seven hundred eighty-six billion, nine hundred eighty-seven million, nine hundred eighty-seven thousand, two hundred sixteen".