3816960000 has 520 divisors, whose sum is σ = 14739081984. Its totient is φ = 860160000.

The previous prime is 3816959947. The next prime is 3816960001. The reversal of 3816960000 is 696183.

It is a super-4 number, since 4×3816960000⁴ (a number of 39 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (3816960001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53759965 + ... + 53760035.

Almost surely, 2^3816960000 is an apocalyptic number.

3816960000 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 3816960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369540992).

3816960000 is an abundant number, since it is smaller than the sum of its proper divisors (10922121984).

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

3816960000 is an frugal number, since it uses more digits than its factorization.

3816960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3816960000 is about 61781.5506441850. The cubic root of 3816960000 is about 1562.8088776032.

The spelling of 3816960000 in words is "three billion, eight hundred sixteen million, nine hundred sixty thousand".