3816505368 has 192 divisors, whose sum is σ = 11695320000. Its totient is φ = 1122181632.

The previous prime is 3816505349. The next prime is 3816505369. The reversal of 3816505368 is 8635056183.

3816505368 is a `hidden beast` number, since 3 + 81 + 6 + 505 + 3 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3816505369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3637708 + ... + 3638756.

It is an arithmetic number, because the mean of its divisors is an integer number (60913125).

Almost surely, 2^3816505368 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 3816505368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847660000).

3816505368 is an abundant number, since it is smaller than the sum of its proper divisors (7878814632).

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

3816505368 is a wasteful number, since it uses less digits than its factorization.

3816505368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3816505368 is about 61777.8711837823. The cubic root of 3816505368 is about 1562.7468272511.

The spelling of 3816505368 in words is "three billion, eight hundred sixteen million, five hundred five thousand, three hundred sixty-eight".