38420981760 has 768 divisors, whose sum is σ = 149165452800. Its totient is φ = 8257536000.

The previous prime is 38420981743. The next prime is 38420981761. The reversal of 38420981760 is 6718902483.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (38420981761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380405710 + ... + 380405810.

It is an arithmetic number, because the mean of its divisors is an integer number (194225850).

Almost surely, 2^38420981760 is an apocalyptic number.

38420981760 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 38420981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74582726400).

38420981760 is an abundant number, since it is smaller than the sum of its proper divisors (110744471040).

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

38420981760 is a wasteful number, since it uses less digits than its factorization.

38420981760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 38420981760 in words is "thirty-eight billion, four hundred twenty million, nine hundred eighty-one thousand, seven hundred sixty".