3114329028720 has 960 divisors, whose sum is σ = 12396022603776. Its totient is φ = 640813178880.

The previous prime is 3114329028593. The next prime is 3114329028721. The reversal of 3114329028720 is 278209234113.

3114329028720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3114329028721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2637026530 + ... + 2637027710.

Almost surely, 2^{3114329028720} is an apocalyptic number.

3114329028720 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 3114329028720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198011301888).

3114329028720 is an abundant number, since it is smaller than the sum of its proper divisors (9281693575056).

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

3114329028720 is a wasteful number, since it uses less digits than its factorization.

3114329028720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 3114329028720 in words is "three trillion, one hundred fourteen billion, three hundred twenty-nine million, twenty-eight thousand, seven hundred twenty".