38687267652528 has 480 divisors, whose sum is σ = 121346763310080. Its totient is φ = 10498053081600.

The previous prime is 38687267652479. The next prime is 38687267652541. The reversal of 38687267652528 is 82525676278683.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 38687267652528.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414505675 + ... + 414598997.

It is an arithmetic number, because the mean of its divisors is an integer number (252805756896).

Almost surely, 2^{38687267652528} is an apocalyptic number.

38687267652528 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38687267652528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60673381655040).

38687267652528 is an abundant number, since it is smaller than the sum of its proper divisors (82659495657552).

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

38687267652528 is a wasteful number, since it uses less digits than its factorization.

38687267652528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93469 (or 93432 counting only the distinct ones).

The product of its digits is 3251404800, while the sum is 75.

The spelling of 38687267652528 in words is "thirty-eight trillion, six hundred eighty-seven billion, two hundred sixty-seven million, six hundred fifty-two thousand, five hundred twenty-eight".