38138892480 has 504 divisors, whose sum is σ = 143399572992. Its totient is φ = 9299017728.

The previous prime is 38138892479. The next prime is 38138892481. The reversal of 38138892480 is 8429883183.

It is a happy number.

38138892480 is a `hidden beast` number, since 3 + 81 + 3 + 8 + 89 + 2 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (38138892479) and next prime (38138892481).

It is not an unprimeable number, because it can be changed into a prime (38138892481) 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 71 ways as a sum of consecutive naturals, for example, 61813132 + ... + 61813748.

Almost surely, 2^38138892480 is an apocalyptic number.

38138892480 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 38138892480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71699786496).

38138892480 is an abundant number, since it is smaller than the sum of its proper divisors (105260680512).

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

38138892480 is a wasteful number, since it uses less digits than its factorization.

38138892480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 38138892480 in words is "thirty-eight billion, one hundred thirty-eight million, eight hundred ninety-two thousand, four hundred eighty".