3948452928000 has 2880 divisors, whose sum is σ = 17974715616000. Its totient is φ = 827714764800.

The previous prime is 3948452927987. The next prime is 3948452928011. The reversal of 3948452928000 is 8292548493.

3948452928000 is a `hidden beast` number, since 3 + 94 + 8 + 4 + 529 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 19841471901 + ... + 19841472099.

It is an arithmetic number, because the mean of its divisors is an integer number (6241220700).

Almost surely, 2^{3948452928000} is an apocalyptic number.

3948452928000 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 3948452928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8987357808000).

3948452928000 is an abundant number, since it is smaller than the sum of its proper divisors (14026262688000).

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

3948452928000 is a wasteful number, since it uses less digits than its factorization.

3948452928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3948452928000 in words is "three trillion, nine hundred forty-eight billion, four hundred fifty-two million, nine hundred twenty-eight thousand".