3926848705920 has 1024 divisors, whose sum is σ = 16859943936000. Its totient is φ = 843769405440.

The previous prime is 3926848705907. The next prime is 3926848705921. The reversal of 3926848705920 is 295078486293.

3926848705920 is a `hidden beast` number, since 3 + 9 + 2 + 68 + 487 + 0 + 5 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3926848705921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 301062919 + ... + 301075961.

It is an arithmetic number, because the mean of its divisors is an integer number (16464789000).

Almost surely, 2^{3926848705920} is an apocalyptic number.

3926848705920 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 3926848705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429971968000).

3926848705920 is an abundant number, since it is smaller than the sum of its proper divisors (12933095230080).

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

3926848705920 is a wasteful number, since it uses less digits than its factorization.

3926848705920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13228 (or 13210 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3926848705920 in words is "three trillion, nine hundred twenty-six billion, eight hundred forty-eight million, seven hundred five thousand, nine hundred twenty".