38930868480 has 432 divisors, whose sum is σ = 145994776704. Its totient is φ = 8814919680.

The previous prime is 38930868439. The next prime is 38930868481. The reversal of 38930868480 is 8486803983.

It is a super-2 number, since 2×38930868480² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38930868480.

It is not an unprimeable number, because it can be changed into a prime (38930868481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 21261165 + ... + 21262995.

It is an arithmetic number, because the mean of its divisors is an integer number (337950872).

Almost surely, 2^38930868480 is an apocalyptic number.

38930868480 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 38930868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72997388352).

38930868480 is an abundant number, since it is smaller than the sum of its proper divisors (107063908224).

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

38930868480 is a wasteful number, since it uses less digits than its factorization.

38930868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1982 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 38930868480 in words is "thirty-eight billion, nine hundred thirty million, eight hundred sixty-eight thousand, four hundred eighty".