38880511488 has 640 divisors, whose sum is σ = 146363965440. Its totient is φ = 9913466880.

The previous prime is 38880511477. The next prime is 38880511517. The reversal of 38880511488 is 88411508883.

38880511488 is a `hidden beast` number, since 3 + 8 + 8 + 80 + 511 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38997006 + ... + 38998002.

It is an arithmetic number, because the mean of its divisors is an integer number (228693696).

Almost surely, 2^38880511488 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 38880511488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73181982720).

38880511488 is an abundant number, since it is smaller than the sum of its proper divisors (107483453952).

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

38880511488 is a wasteful number, since it uses less digits than its factorization.

38880511488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 54.

The spelling of 38880511488 in words is "thirty-eight billion, eight hundred eighty million, five hundred eleven thousand, four hundred eighty-eight".