3813696000 has 320 divisors, whose sum is σ = 14094812160. Its totient is φ = 1016524800.

The previous prime is 3813695999. The next prime is 3813696031. The reversal of 3813696000 is 6963183.

It is a happy number.

3813696000 is a `hidden beast` number, since 38 + 13 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1726897 + ... + 1729103.

It is an arithmetic number, because the mean of its divisors is an integer number (44046288).

Almost surely, 2^3813696000 is an apocalyptic number.

3813696000 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 3813696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7047406080).

3813696000 is an abundant number, since it is smaller than the sum of its proper divisors (10281116160).

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

3813696000 is an equidigital number, since it uses as much as digits as its factorization.

3813696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3813696000 is about 61755.1293416183. The cubic root of 3813696000 is about 1562.3632819042.

The spelling of 3813696000 in words is "three billion, eight hundred thirteen million, six hundred ninety-six thousand".