38905828528320 has 2016 divisors, whose sum is σ = 159868513546560. Its totient is φ = 8941827686400.

The previous prime is 38905828528247. The next prime is 38905828528321. The reversal of 38905828528320 is 2382582850983.

38905828528320 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 5 + 8 + 285 + 28 + 320 = 666.

It is not an unprimeable number, because it can be changed into a prime (38905828528321) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 28172214030 + ... + 28172215410.

It is an arithmetic number, because the mean of its divisors is an integer number (79299857910).

Almost surely, 2^{38905828528320} is an apocalyptic number.

38905828528320 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 38905828528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79934256773280).

38905828528320 is an abundant number, since it is smaller than the sum of its proper divisors (120962685018240).

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

38905828528320 is a wasteful number, since it uses less digits than its factorization.

38905828528320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 38905828528320 in words is "thirty-eight trillion, nine hundred five billion, eight hundred twenty-eight million, five hundred twenty-eight thousand, three hundred twenty".