3242199686544 has 400 divisors, whose sum is σ = 11554246230912. Its totient is φ = 854724980736.

The previous prime is 3242199686543. The next prime is 3242199686563. The reversal of 3242199686544 is 4456869912423.

3242199686544 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 1 + 9 + 9 + 6 + 86 + 544 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3242199686543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 391897192 + ... + 391905464.

Almost surely, 2^{3242199686544} 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 3242199686544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5777123115456).

3242199686544 is an abundant number, since it is smaller than the sum of its proper divisors (8312046544368).

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

3242199686544 is a wasteful number, since it uses less digits than its factorization.

3242199686544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11636 (or 11621 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 3242199686544 in words is "three trillion, two hundred forty-two billion, one hundred ninety-nine million, six hundred eighty-six thousand, five hundred forty-four".