3952199664000 has 2304 divisors, whose sum is σ = 17522060175360. Its totient is φ = 851913216000.

The previous prime is 3952199663987. The next prime is 3952199664011. The reversal of 3952199664000 is 4669912593.

3952199664000 is a `hidden beast` number, since 3 + 95 + 2 + 1 + 99 + 66 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 55664783965 + ... + 55664784035.

It is an arithmetic number, because the mean of its divisors is an integer number (7605060840).

Almost surely, 2^{3952199664000} is an apocalyptic number.

3952199664000 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 3952199664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761030087680).

3952199664000 is an abundant number, since it is smaller than the sum of its proper divisors (13569860511360).

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

3952199664000 is an frugal number, since it uses more digits than its factorization.

3952199664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 3952199664000 in words is "three trillion, nine hundred fifty-two billion, one hundred ninety-nine million, six hundred sixty-four thousand".