38024828160 has 576 divisors, whose sum is σ = 139020779520. Its totient is φ = 8773632000.

The previous prime is 38024828141. The next prime is 38024828201. The reversal of 38024828160 is 6182842083.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92970036 + ... + 92970444.

It is an arithmetic number, because the mean of its divisors is an integer number (241355520).

Almost surely, 2^38024828160 is an apocalyptic number.

38024828160 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 38024828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69510389760).

38024828160 is an abundant number, since it is smaller than the sum of its proper divisors (100995951360).

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

38024828160 is a wasteful number, since it uses less digits than its factorization.

38024828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 38024828160 in words is "thirty-eight billion, twenty-four million, eight hundred twenty-eight thousand, one hundred sixty".