3781071736416 has 144 divisors (see below), whose sum is σ = 11581215229584. Its totient is φ = 1163237594112.

The previous prime is 3781071736411. The next prime is 3781071736439. The reversal of 3781071736416 is 6146371701873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3781071736411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 27025555 + ... + 27165101.

It is an arithmetic number, because the mean of its divisors is an integer number (80425105761).

Almost surely, 2^{3781071736416} is an apocalyptic number.

3781071736416 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 3781071736416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790607614792).

3781071736416 is an abundant number, since it is smaller than the sum of its proper divisors (7800143493168).

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

3781071736416 is a wasteful number, since it uses less digits than its factorization.

3781071736416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146813 (or 146802 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 3781071736416 in words is "three trillion, seven hundred eighty-one billion, seventy-one million, seven hundred thirty-six thousand, four hundred sixteen".