38439961560 has 1536 divisors, whose sum is σ = 182572185600. Its totient is φ = 6942412800.

The previous prime is 38439961559. The next prime is 38439961577. The reversal of 38439961560 is 6516993483.

38439961560 is a `hidden beast` number, since 38 + 43 + 9 + 9 + 6 + 1 + 560 = 666.

38439961560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 38439961497 and 38439961506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1038917862 + ... + 1038917898.

It is an arithmetic number, because the mean of its divisors is an integer number (118862100).

Almost surely, 2^38439961560 is an apocalyptic number.

38439961560 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 38439961560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91286092800).

38439961560 is an abundant number, since it is smaller than the sum of its proper divisors (144132224040).

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

38439961560 is a wasteful number, since it uses less digits than its factorization.

38439961560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

It can be divided in two parts, 38439 and 961560, that added together give a palindrome (999999).

The spelling of 38439961560 in words is "thirty-eight billion, four hundred thirty-nine million, nine hundred sixty-one thousand, five hundred sixty".