3816460800 has 420 divisors, whose sum is σ = 14211546690. Its totient is φ = 1015234560.

The previous prime is 3816460789. The next prime is 3816460807. The reversal of 3816460800 is 80646183.

It is a happy number.

3816460800 is a `hidden beast` number, since 3 + 8 + 1 + 646 + 0 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3502745856 + 313714944 = 59184^2 + 17712^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3816460807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9330996 + ... + 9331404.

Almost surely, 2^3816460800 is an apocalyptic number.

3816460800 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 3816460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105773345).

3816460800 is an abundant number, since it is smaller than the sum of its proper divisors (10395085890).

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

3816460800 is an frugal number, since it uses more digits than its factorization.

3816460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3816460800 is about 61777.5104710444. The cubic root of 3816460800 is about 1562.7407441318.

The spelling of 3816460800 in words is "three billion, eight hundred sixteen million, four hundred sixty thousand, eight hundred".