3457880014848 has 960 divisors, whose sum is σ = 11628269076480. Its totient is φ = 891813888000.

The previous prime is 3457880014811. The next prime is 3457880014859. The reversal of 3457880014848 is 8484100887543.

It is a junction number, because it is equal to n+sod(n) for n = 3457880014791 and 3457880014800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22899867573 + ... + 22899867723.

It is an arithmetic number, because the mean of its divisors is an integer number (12112780288).

Almost surely, 2^{3457880014848} is an apocalyptic number.

3457880014848 is a gapful number since it is divisible by the number (38) 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 3457880014848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814134538240).

3457880014848 is an abundant number, since it is smaller than the sum of its proper divisors (8170389061632).

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

3457880014848 is a wasteful number, since it uses less digits than its factorization.

3457880014848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 27525120, while the sum is 60.

The spelling of 3457880014848 in words is "three trillion, four hundred fifty-seven billion, eight hundred eighty million, fourteen thousand, eight hundred forty-eight".