3134242000320 has 224 divisors, whose sum is σ = 10479051310080. Its totient is φ = 791499755520.

The previous prime is 3134242000297. The next prime is 3134242000471. The reversal of 3134242000320 is 230002424313.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48686874 + ... + 48751206.

Almost surely, 2^{3134242000320} is an apocalyptic number.

3134242000320 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 3134242000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5239525655040).

3134242000320 is an abundant number, since it is smaller than the sum of its proper divisors (7344809309760).

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

3134242000320 is a wasteful number, since it uses less digits than its factorization.

3134242000320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67043 (or 67033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 3134242000320 its reverse (230002424313), we get a palindrome (3364244424633).

The spelling of 3134242000320 in words is "three trillion, one hundred thirty-four billion, two hundred forty-two million, three hundred twenty", and thus it is an aban number.