3786280713216 has 924 divisors, whose sum is σ = 12144610878712. Its totient is φ = 1178364837888.

The previous prime is 3786280713211. The next prime is 3786280713223. The reversal of 3786280713216 is 6123170826873.

It is a happy number.

3786280713216 is a `hidden beast` number, since 3 + 7 + 8 + 628 + 0 + 7 + 1 + 3 + 2 + 1 + 6 = 666.

3786280713216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786280713211) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 23228715951 + ... + 23228716113.

Almost surely, 2^{3786280713216} is an apocalyptic number.

3786280713216 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 3786280713216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072305439356).

3786280713216 is an abundant number, since it is smaller than the sum of its proper divisors (8358330165496).

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

3786280713216 is an equidigital number, since it uses as much as digits as its factorization.

3786280713216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3786280713216 in words is "three trillion, seven hundred eighty-six billion, two hundred eighty million, seven hundred thirteen thousand, two hundred sixteen".