38989002916224 has 384 divisors, whose sum is σ = 114435937512000. Its totient is φ = 12739040133120.

The previous prime is 38989002916211. The next prime is 38989002916261. The reversal of 38989002916224 is 42261920098983.

38989002916224 is a `hidden beast` number, since 38 + 9 + 8 + 90 + 0 + 291 + 6 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20771977174 + ... + 20771979050.

Almost surely, 2^{38989002916224} 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 38989002916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57217968756000).

38989002916224 is an abundant number, since it is smaller than the sum of its proper divisors (75446934595776).

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

38989002916224 is a wasteful number, since it uses less digits than its factorization.

38989002916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3306 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 38989002916224 in words is "thirty-eight trillion, nine hundred eighty-nine billion, two million, nine hundred sixteen thousand, two hundred twenty-four".