3996723200 has 144 divisors (see below), whose sum is σ = 9980923680. Its totient is φ = 1587200000.

The previous prime is 3996723187. The next prime is 3996723229. The reversal of 3996723200 is 23276993.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12851045 + ... + 12851355.

It is an arithmetic number, because the mean of its divisors is an integer number (69311970).

Almost surely, 2^3996723200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3996723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990461840).

3996723200 is an abundant number, since it is smaller than the sum of its proper divisors (5984200480).

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

3996723200 is a wasteful number, since it uses less digits than its factorization.

3996723200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 41.

The square root of 3996723200 is about 63219.6425171797. The cubic root of 3996723200 is about 1586.9674672352.

The spelling of 3996723200 in words is "three billion, nine hundred ninety-six million, seven hundred twenty-three thousand, two hundred".