3782071208016 has 200 divisors, whose sum is σ = 11076706000800. Its totient is φ = 1245744251136.

The previous prime is 3782071207991. The next prime is 3782071208017. The reversal of 3782071208016 is 6108021702873.

3782071208016 is a `hidden beast` number, since 378 + 2 + 0 + 71 + 208 + 0 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782071208017) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55018435 + ... + 55087133.

It is an arithmetic number, because the mean of its divisors is an integer number (55383530004).

Almost surely, 2^{3782071208016} is an apocalyptic number.

3782071208016 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 3782071208016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538353000400).

3782071208016 is an abundant number, since it is smaller than the sum of its proper divisors (7294634792784).

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

3782071208016 is a wasteful number, since it uses less digits than its factorization.

3782071208016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69223 (or 69208 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 3782071208016 in words is "three trillion, seven hundred eighty-two billion, seventy-one million, two hundred eight thousand, sixteen".