3968699200 has 84 divisors (see below), whose sum is σ = 9842877952. Its totient is φ = 1574899200.

The previous prime is 3968699173. The next prime is 3968699209. The reversal of 3968699200 is 29968693.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968699209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 193435 + ... + 212965.

Almost surely, 2^3968699200 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 3968699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4921438976).

3968699200 is an abundant number, since it is smaller than the sum of its proper divisors (5874178752).

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

3968699200 is a wasteful number, since it uses less digits than its factorization.

3968699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19680 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The square root of 3968699200 is about 62997.6126531792. The cubic root of 3968699200 is about 1583.2496275847.

The spelling of 3968699200 in words is "three billion, nine hundred sixty-eight million, six hundred ninety-nine thousand, two hundred".