3400131168000 has 2160 divisors, whose sum is σ = 15504395306400. Its totient is φ = 735746457600.

The previous prime is 3400131167987. The next prime is 3400131168013. The reversal of 3400131168000 is 8611310043.

3400131168000 is a `hidden beast` number, since 340 + 0 + 1 + 311 + 6 + 8 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3400131167987) and next prime (3400131168013).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 239 ways as a sum of consecutive naturals, for example, 2413151296 + ... + 2413152704.

It is an arithmetic number, because the mean of its divisors is an integer number (7177960790).

Almost surely, 2^{3400131168000} is an apocalyptic number.

3400131168000 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 3400131168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752197653200).

3400131168000 is an abundant number, since it is smaller than the sum of its proper divisors (12104264138400).

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

3400131168000 is a wasteful number, since it uses less digits than its factorization.

3400131168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 3400131168000 its reverse (8611310043), we get a palindrome (3408742478043).

The spelling of 3400131168000 in words is "three trillion, four hundred billion, one hundred thirty-one million, one hundred sixty-eight thousand".