38980288432512 has 384 divisors, whose sum is σ = 128450768846400. Its totient is φ = 11114953850880.

The previous prime is 38980288432511. The next prime is 38980288432517. The reversal of 38980288432512 is 21523488208983.

It is a happy number.

38980288432512 is a `hidden beast` number, since 3 + 8 + 9 + 8 + 0 + 2 + 8 + 84 + 32 + 512 = 666.

38980288432512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 38980288432512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38980288432511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11008269462 + ... + 11008273002.

Almost surely, 2^{38980288432512} is an apocalyptic number.

38980288432512 is a gapful number since it is divisible by the number (32) 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 38980288432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64225384423200).

38980288432512 is an abundant number, since it is smaller than the sum of its proper divisors (89470480413888).

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

38980288432512 is a wasteful number, since it uses less digits than its factorization.

38980288432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914 (or 5899 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 38980288432512 in words is "thirty-eight trillion, nine hundred eighty billion, two hundred eighty-eight million, four hundred thirty-two thousand, five hundred twelve".