3134045034120 has 256 divisors, whose sum is σ = 12623846215680. Its totient is φ = 601135488000.

The previous prime is 3134045034073. The next prime is 3134045034121. The reversal of 3134045034120 is 214305404313.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3134045034121) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 12925356 + ... + 13165595.

It is an arithmetic number, because the mean of its divisors is an integer number (49311899280).

Almost surely, 2^{3134045034120} is an apocalyptic number.

3134045034120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3134045034120 is an abundant number, since it is smaller than the sum of its proper divisors (9489801181560).

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

3134045034120 is a wasteful number, since it uses less digits than its factorization.

3134045034120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26090996 (or 26090992 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 3134045034120 in words is "three trillion, one hundred thirty-four billion, forty-five million, thirty-four thousand, one hundred twenty".