3964979200 has 576 divisors, whose sum is σ = 12966670080. Its totient is φ = 1167851520.

The previous prime is 3964979197. The next prime is 3964979231. The reversal of 3964979200 is 29794693.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107161582 + ... + 107161618.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 2^3964979200 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 3964979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6483335040).

3964979200 is an abundant number, since it is smaller than the sum of its proper divisors (9001690880).

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

3964979200 is a wasteful number, since it uses less digits than its factorization.

3964979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The square root of 3964979200 is about 62968.0808028957. The cubic root of 3964979200 is about 1582.7547946029.

The spelling of 3964979200 in words is "three billion, nine hundred sixty-four million, nine hundred seventy-nine thousand, two hundred".