38245887360 has 768 divisors, whose sum is σ = 150053342400. Its totient is φ = 8918138880.

The previous prime is 38245887353. The next prime is 38245887389. The reversal of 38245887360 is 6378854283.

38245887360 is a `hidden beast` number, since 3 + 8 + 24 + 588 + 7 + 36 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38245887297 and 38245887306.

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 95 ways as a sum of consecutive naturals, for example, 113489112 + ... + 113489448.

Almost surely, 2^38245887360 is an apocalyptic number.

38245887360 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 38245887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75026671200).

38245887360 is an abundant number, since it is smaller than the sum of its proper divisors (111807455040).

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

38245887360 is a wasteful number, since it uses less digits than its factorization.

38245887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 38245887360 in words is "thirty-eight billion, two hundred forty-five million, eight hundred eighty-seven thousand, three hundred sixty".