3134300641920 has 4096 divisors, whose sum is σ = 15002910720000. Its totient is φ = 601974374400.

The previous prime is 3134300641897. The next prime is 3134300641921. The reversal of 3134300641920 is 291460034313.

3134300641920 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 3 + 0 + 0 + 641 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×3134300641920² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3134300641921) 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 511 ways as a sum of consecutive naturals, for example, 76446357100 + ... + 76446357140.

It is an arithmetic number, because the mean of its divisors is an integer number (3662820000).

Almost surely, 2^{3134300641920} is an apocalyptic number.

3134300641920 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 3134300641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501455360000).

3134300641920 is an abundant number, since it is smaller than the sum of its proper divisors (11868610078080).

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

3134300641920 is a wasteful number, since it uses less digits than its factorization.

3134300641920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 3134300641920 in words is "three trillion, one hundred thirty-four billion, three hundred million, six hundred forty-one thousand, nine hundred twenty".