38450018880 has 672 divisors, whose sum is σ = 168417849600. Its totient is φ = 7831240704.

The previous prime is 38450018879. The next prime is 38450018891. The reversal of 38450018880 is 8881005483.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7597791 + ... + 7602849.

It is an arithmetic number, because the mean of its divisors is an integer number (250621800).

Almost surely, 2^38450018880 is an apocalyptic number.

38450018880 is a gapful number since it is divisible by the number (30) 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 38450018880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84208924800).

38450018880 is an abundant number, since it is smaller than the sum of its proper divisors (129967830720).

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

38450018880 is a wasteful number, since it uses less digits than its factorization.

38450018880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5131 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 38450018880 in words is "thirty-eight billion, four hundred fifty million, eighteen thousand, eight hundred eighty".