8385882408 has 96 divisors (see below), whose sum is σ = 24264208800. Its totient is φ = 2608619904.

The previous prime is 8385882367. The next prime is 8385882413. The reversal of 8385882408 is 8042885838.

8385882408 is a `hidden beast` number, since 8 + 38 + 588 + 24 + 0 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45910 + ... + 137402.

It is an arithmetic number, because the mean of its divisors is an integer number (252752175).

Almost surely, 2^8385882408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8385882408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12132104400).

8385882408 is an abundant number, since it is smaller than the sum of its proper divisors (15878326392).

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

8385882408 is a wasteful number, since it uses less digits than its factorization.

8385882408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91591 (or 91584 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The square root of 8385882408 is about 91574.4637330735. The cubic root of 8385882408 is about 2031.6532600382.

The spelling of 8385882408 in words is "eight billion, three hundred eighty-five million, eight hundred eighty-two thousand, four hundred eight".