3134938398720 has 480 divisors, whose sum is σ = 10387531155456. Its totient is φ = 806486016000.

The previous prime is 3134938398703. The next prime is 3134938398743. The reversal of 3134938398720 is 278938394313.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4472094370 + ... + 4472095070.

Almost surely, 2^{3134938398720} is an apocalyptic number.

3134938398720 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 3134938398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193765577728).

3134938398720 is an abundant number, since it is smaller than the sum of its proper divisors (7252592756736).

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

3134938398720 is an equidigital number, since it uses as much as digits as its factorization.

3134938398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 3134938398720 in words is "three trillion, one hundred thirty-four billion, nine hundred thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty".