3726881823168 has 168 divisors, whose sum is σ = 12228290841312. Its totient is φ = 1063096860672.

The previous prime is 3726881823103. The next prime is 3726881823173. The reversal of 3726881823168 is 8613281886273.

3726881823168 is a `hidden beast` number, since 3 + 7 + 268 + 81 + 8 + 231 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1738696 + ... + 3236792.

It is an arithmetic number, because the mean of its divisors is an integer number (72787445484).

Almost surely, 2^{3726881823168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3726881823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114145420656).

3726881823168 is an abundant number, since it is smaller than the sum of its proper divisors (8501409018144).

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

3726881823168 is a wasteful number, since it uses less digits than its factorization.

3726881823168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498739 (or 1498726 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 63.

The spelling of 3726881823168 in words is "three trillion, seven hundred twenty-six billion, eight hundred eighty-one million, eight hundred twenty-three thousand, one hundred sixty-eight".