38638412540 has 576 divisors, whose sum is σ = 114397194240. Its totient is φ = 10674892800.

The previous prime is 38638412531. The next prime is 38638412543. The reversal of 38638412540 is 4521483683.

It is a super-2 number, since 2×38638412540² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38638412491 and 38638412500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38638412543) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 382558490 + ... + 382558590.

It is an arithmetic number, because the mean of its divisors is an integer number (198606240).

Almost surely, 2^38638412540 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 38638412540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57198597120).

38638412540 is an abundant number, since it is smaller than the sum of its proper divisors (75758781700).

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

38638412540 is a wasteful number, since it uses less digits than its factorization.

38638412540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 38638412540 in words is "thirty-eight billion, six hundred thirty-eight million, four hundred twelve thousand, five hundred forty".