3928733952000 has 1536 divisors, whose sum is σ = 15577968107520. Its totient is φ = 866549760000.

The previous prime is 3928733951953. The next prime is 3928733952007. The reversal of 3928733952000 is 2593378293.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (3928733952007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9115391785 + ... + 9115392215.

It is an arithmetic number, because the mean of its divisors is an integer number (10141906320).

Almost surely, 2^{3928733952000} is an apocalyptic number.

3928733952000 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 3928733952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7788984053760).

3928733952000 is an abundant number, since it is smaller than the sum of its proper divisors (11649234155520).

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

3928733952000 is a wasteful number, since it uses less digits than its factorization.

3928733952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 51.

The spelling of 3928733952000 in words is "three trillion, nine hundred twenty-eight billion, seven hundred thirty-three million, nine hundred fifty-two thousand".