3896323200 has 864 divisors, whose sum is σ = 17713397520. Its totient is φ = 806400000.

The previous prime is 3896323187. The next prime is 3896323201. The reversal of 3896323200 is 23236983.

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 (3896323201) 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 107 ways as a sum of consecutive naturals, for example, 15523075 + ... + 15523325.

Almost surely, 2^3896323200 is an apocalyptic number.

3896323200 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 3896323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8856698760).

3896323200 is an abundant number, since it is smaller than the sum of its proper divisors (13817074320).

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

3896323200 is a wasteful number, since it uses less digits than its factorization.

3896323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3896323200 is about 62420.5350826152. The cubic root of 3896323200 is about 1573.5661023671.

The spelling of 3896323200 in words is "three billion, eight hundred ninety-six million, three hundred twenty-three thousand, two hundred".