3936827288320 has 144 divisors (see below), whose sum is σ = 9845766427392. Its totient is φ = 1505370746880.

The previous prime is 3936827288231. The next prime is 3936827288323. The reversal of 3936827288320 is 238827286393.

It is a happy number.

It is a super-2 number, since 2×3936827288320² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (61) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3936827288323) 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 15 ways as a sum of consecutive naturals, for example, 50686315 + ... + 50763925.

It is an arithmetic number, because the mean of its divisors is an integer number (68373377968).

Almost surely, 2^{3936827288320} 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 3936827288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922883213696).

3936827288320 is an abundant number, since it is smaller than the sum of its proper divisors (5908939139072).

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

3936827288320 is a wasteful number, since it uses less digits than its factorization.

3936827288320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79378 (or 79364 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 61.

The spelling of 3936827288320 in words is "three trillion, nine hundred thirty-six billion, eight hundred twenty-seven million, two hundred eighty-eight thousand, three hundred twenty".