3928354560000 has 1440 divisors, whose sum is σ = 16176930850080. Its totient is φ = 909508608000.

The previous prime is 3928354559989. The next prime is 3928354560023. The reversal of 3928354560000 is 654538293.

3928354560000 is a `hidden beast` number, since 3 + 9 + 2 + 8 + 35 + 4 + 5 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2545919229 + ... + 2545920771.

It is an arithmetic number, because the mean of its divisors is an integer number (11233979757).

Almost surely, 2^{3928354560000} is an apocalyptic number.

3928354560000 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 3928354560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088465425040).

3928354560000 is an abundant number, since it is smaller than the sum of its proper divisors (12248576290080).

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

3928354560000 is a wasteful number, since it uses less digits than its factorization.

3928354560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 3928354560000 in words is "three trillion, nine hundred twenty-eight billion, three hundred fifty-four million, five hundred sixty thousand".