3781334658816 has 720 divisors, whose sum is σ = 13703540225760. Its totient is φ = 1021219799040.

The previous prime is 3781334658769. The next prime is 3781334658821. The reversal of 3781334658816 is 6188564331873.

It is a happy number.

3781334658816 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 3 + 3 + 46 + 588 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 85970206 + ... + 86014178.

It is an arithmetic number, because the mean of its divisors is an integer number (19032694758).

Almost surely, 2^{3781334658816} is an apocalyptic number.

3781334658816 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 3781334658816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6851770112880).

3781334658816 is an abundant number, since it is smaller than the sum of its proper divisors (9922205566944).

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

3781334658816 is a wasteful number, since it uses less digits than its factorization.

3781334658816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44054 (or 44031 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 3781334658816 in words is "three trillion, seven hundred eighty-one billion, three hundred thirty-four million, six hundred fifty-eight thousand, eight hundred sixteen".