3808331500896 has 192 divisors, whose sum is σ = 11968736048640. Its totient is φ = 1171141009920.

The previous prime is 3808331500891. The next prime is 3808331500907. The reversal of 3808331500896 is 6980051338083.

It is a happy number.

3808331500896 is a `hidden beast` number, since 380 + 8 + 33 + 150 + 0 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3808331500891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20247541 + ... + 20434763.

It is an arithmetic number, because the mean of its divisors is an integer number (62337166920).

Almost surely, 2^{3808331500896} is an apocalyptic number.

3808331500896 is a gapful number since it is divisible by the number (36) 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 3808331500896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984368024320).

3808331500896 is an abundant number, since it is smaller than the sum of its proper divisors (8160404547744).

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

3808331500896 is a wasteful number, since it uses less digits than its factorization.

3808331500896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189066 (or 189052 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 3808331500896 in words is "three trillion, eight hundred eight billion, three hundred thirty-one million, five hundred thousand, eight hundred ninety-six".