3100904341920 has 4608 divisors, whose sum is σ = 15927238656000. Its totient is φ = 555990220800.

The previous prime is 3100904341841. The next prime is 3100904341933. The reversal of 3100904341920 is 291434090013.

3100904341920 is a `hidden beast` number, since 3 + 100 + 90 + 434 + 19 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 767 ways as a sum of consecutive naturals, for example, 100029172305 + ... + 100029172335.

It is an arithmetic number, because the mean of its divisors is an integer number (3456432000).

Almost surely, 2^{3100904341920} is an apocalyptic number.

3100904341920 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 3100904341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7963619328000).

3100904341920 is an abundant number, since it is smaller than the sum of its proper divisors (12826334314080).

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

3100904341920 is a wasteful number, since it uses less digits than its factorization.

3100904341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 3100904341920 in words is "three trillion, one hundred billion, nine hundred four million, three hundred forty-one thousand, nine hundred twenty".