3928203342700 has 288 divisors, whose sum is σ = 10579880594304. Its totient is φ = 1232739164160.

The previous prime is 3928203342683. The next prime is 3928203342809. The reversal of 3928203342700 is 72433028293.

3928203342700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1990978914 + ... + 1990980886.

It is an arithmetic number, because the mean of its divisors is an integer number (36735696508).

Almost surely, 2^{3928203342700} 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 3928203342700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289940297152).

3928203342700 is an abundant number, since it is smaller than the sum of its proper divisors (6651677251604).

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

3928203342700 is a wasteful number, since it uses less digits than its factorization.

3928203342700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3734 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 3928203342700 in words is "three trillion, nine hundred twenty-eight billion, two hundred three million, three hundred forty-two thousand, seven hundred".