38285291520 has 936 divisors, whose sum is σ = 161109630864. Its totient is φ = 8695185408.

The previous prime is 38285291503. The next prime is 38285291549. The reversal of 38285291520 is 2519258283.

38285291520 is a `hidden beast` number, since 38 + 2 + 8 + 5 + 2 + 91 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855282 + ... + 243855438.

It is an arithmetic number, because the mean of its divisors is an integer number (172125674).

Almost surely, 2^38285291520 is an apocalyptic number.

38285291520 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 38285291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80554815432).

38285291520 is an abundant number, since it is smaller than the sum of its proper divisors (122824339344).

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

38285291520 is an equidigital number, since it uses as much as digits as its factorization.

38285291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 38285291520 in words is "thirty-eight billion, two hundred eighty-five million, two hundred ninety-one thousand, five hundred twenty".