38744987250528 has 144 divisors (see below), whose sum is σ = 118659769811856. Its totient is φ = 11921208376320.

The previous prime is 38744987250521. The next prime is 38744987250551. The reversal of 38744987250528 is 82505278944783.

38744987250528 is a `hidden beast` number, since 3 + 8 + 7 + 4 + 4 + 98 + 7 + 2 + 5 + 0 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38744987250521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161310043 + ... + 161550053.

It is an arithmetic number, because the mean of its divisors is an integer number (824026179249).

Almost surely, 2^{38744987250528} is an apocalyptic number.

It is an amenable number.

38744987250528 is an abundant number, since it is smaller than the sum of its proper divisors (79914782561328).

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

38744987250528 is a wasteful number, since it uses less digits than its factorization.

38744987250528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283157 (or 283146 counting only the distinct ones).

The product of its (nonzero) digits is 1083801600, while the sum is 72.

The spelling of 38744987250528 in words is "thirty-eight trillion, seven hundred forty-four billion, nine hundred eighty-seven million, two hundred fifty thousand, five hundred twenty-eight".