38639610240 has 512 divisors, whose sum is σ = 158526996480. Its totient is φ = 7769088000.

The previous prime is 38639610239. The next prime is 38639610257. The reversal of 38639610240 is 4201693683.

It is a super-2 number, since 2×38639610240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 38639610192 and 38639610201.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4578825 + ... + 4587255.

It is an arithmetic number, because the mean of its divisors is an integer number (309623040).

Almost surely, 2^38639610240 is an apocalyptic number.

38639610240 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 38639610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79263498240).

38639610240 is an abundant number, since it is smaller than the sum of its proper divisors (119887386240).

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

38639610240 is a wasteful number, since it uses less digits than its factorization.

38639610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8502 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 38639610240 in words is "thirty-eight billion, six hundred thirty-nine million, six hundred ten thousand, two hundred forty".