3948632064000 has 1200 divisors, whose sum is σ = 15863541710016. Its totient is φ = 971440128000.

The previous prime is 3948632063963. The next prime is 3948632064017. The reversal of 3948632064000 is 4602368493.

3948632064000 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 632 + 0 + 6 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2156543085 + ... + 2156544915.

Almost surely, 2^{3948632064000} is an apocalyptic number.

3948632064000 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 3948632064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7931770855008).

3948632064000 is an abundant number, since it is smaller than the sum of its proper divisors (11914909646016).

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

3948632064000 is an equidigital number, since it uses as much as digits as its factorization.

3948632064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3948632064000 in words is "three trillion, nine hundred forty-eight billion, six hundred thirty-two million, sixty-four thousand".