3238638441552 has 240 divisors, whose sum is σ = 9766579470336. Its totient is φ = 998917920000.

The previous prime is 3238638441547. The next prime is 3238638441553. The reversal of 3238638441552 is 2551448368323.

3238638441552 is a `hidden beast` number, since 3 + 2 + 3 + 8 + 6 + 3 + 84 + 4 + 1 + 552 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3238638441553) 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 47 ways as a sum of consecutive naturals, for example, 395385777 + ... + 395393967.

Almost surely, 2^{3238638441552} 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 3238638441552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883289735168).

3238638441552 is an abundant number, since it is smaller than the sum of its proper divisors (6527941028784).

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

3238638441552 is a wasteful number, since it uses less digits than its factorization.

3238638441552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12110 (or 12101 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 3238638441552 in words is "three trillion, two hundred thirty-eight billion, six hundred thirty-eight million, four hundred forty-one thousand, five hundred fifty-two".