3801272129226 has 192 divisors, whose sum is σ = 10042355756160. Its totient is φ = 1062442967040.

The previous prime is 3801272129177. The next prime is 3801272129227. The reversal of 3801272129226 is 6229212721083.

3801272129226 is a `hidden beast` number, since 38 + 0 + 1 + 272 + 129 + 226 = 666.

It is not an unprimeable number, because it can be changed into a prime (3801272129227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89561706 + ... + 89604138.

It is an arithmetic number, because the mean of its divisors is an integer number (52303936230).

Almost surely, 2^{3801272129226} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801272129226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021177878080).

3801272129226 is an abundant number, since it is smaller than the sum of its proper divisors (6241083626934).

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

3801272129226 is a wasteful number, since it uses less digits than its factorization.

3801272129226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43763 (or 43751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3801272129226 in words is "three trillion, eight hundred one billion, two hundred seventy-two million, one hundred twenty-nine thousand, two hundred twenty-six".