38639849040 has 480 divisors, whose sum is σ = 145279630080. Its totient is φ = 9434880000.

The previous prime is 38639848993. The next prime is 38639849041. The reversal of 38639849040 is 4094893683.

It is a happy number.

38639849040 is a `hidden beast` number, since 3 + 8 + 63 + 98 + 490 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38639849041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55120690 + ... + 55121390.

It is an arithmetic number, because the mean of its divisors is an integer number (302665896).

Almost surely, 2^38639849040 is an apocalyptic number.

38639849040 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 38639849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72639815040).

38639849040 is an abundant number, since it is smaller than the sum of its proper divisors (106639781040).

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

38639849040 is a wasteful number, since it uses less digits than its factorization.

38639849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

It can be divided in two parts, 3863984 and 9040, that added together give a square (3873024 = 1968²).

The spelling of 38639849040 in words is "thirty-eight billion, six hundred thirty-nine million, eight hundred forty-nine thousand, forty".