3816927360 has 352 divisors, whose sum is σ = 13822702380. Its totient is φ = 1007769600.

The previous prime is 3816927343. The next prime is 3816927371. The reversal of 3816927360 is 637296183.

It can be written as a sum of positive squares in 2 ways, for example, as 3631749696 + 185177664 = 60264^2 + 13608^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 43 ways as a sum of consecutive naturals, for example, 37791310 + ... + 37791410.

Almost surely, 2^3816927360 is an apocalyptic number.

3816927360 is a gapful number since it is divisible by the number (30) 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 3816927360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911351190).

3816927360 is an abundant number, since it is smaller than the sum of its proper divisors (10005775020).

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

3816927360 is an frugal number, since it uses more digits than its factorization.

3816927360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 3816927360 is about 61781.2864870909. The cubic root of 3816927360 is about 1562.8044229039.

The spelling of 3816927360 in words is "three billion, eight hundred sixteen million, nine hundred twenty-seven thousand, three hundred sixty".