38890510848 has 960 divisors, whose sum is σ = 147076300800. Its totient is φ = 9634775040.

The previous prime is 38890510843. The next prime is 38890510861. The reversal of 38890510848 is 84801509883.

38890510848 is a `hidden beast` number, since 3 + 8 + 89 + 0 + 510 + 8 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38890510794 and 38890510803.

It is not an unprimeable number, because it can be changed into a prime (38890510843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 436971988 + ... + 436972076.

It is an arithmetic number, because the mean of its divisors is an integer number (153204480).

Almost surely, 2^38890510848 is an apocalyptic number.

38890510848 is a gapful number since it is divisible by the number (38) 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 38890510848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73538150400).

38890510848 is an abundant number, since it is smaller than the sum of its proper divisors (108185789952).

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

38890510848 is a wasteful number, since it uses less digits than its factorization.

38890510848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 38890510848 in words is "thirty-eight billion, eight hundred ninety million, five hundred ten thousand, eight hundred forty-eight".