38115333648 has 480 divisors, whose sum is σ = 135485078400. Its totient is φ = 10200121344.

The previous prime is 38115333631. The next prime is 38115333671. The reversal of 38115333648 is 84633351183.

38115333648 is a `hidden beast` number, since 3 + 81 + 1 + 533 + 36 + 4 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39012136 + ... + 39013112.

It is an arithmetic number, because the mean of its divisors is an integer number (282260580).

Almost surely, 2^38115333648 is an apocalyptic number.

38115333648 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 38115333648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67742539200).

38115333648 is an abundant number, since it is smaller than the sum of its proper divisors (97369744752).

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

38115333648 is a wasteful number, since it uses less digits than its factorization.

38115333648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 38115333648 in words is "thirty-eight billion, one hundred fifteen million, three hundred thirty-three thousand, six hundred forty-eight".