3458368225248 has 192 divisors, whose sum is σ = 9183129786432. Its totient is φ = 1139565772800.

The previous prime is 3458368225243. The next prime is 3458368225271. The reversal of 3458368225248 is 8425228638543.

It is a junction number, because it is equal to n+sod(n) for n = 3458368225191 and 3458368225200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3458368225243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3164105790 + ... + 3164106882.

It is an arithmetic number, because the mean of its divisors is an integer number (47828800971).

Almost surely, 2^{3458368225248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3458368225248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4591564893216).

3458368225248 is an abundant number, since it is smaller than the sum of its proper divisors (5724761561184).

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

3458368225248 is a wasteful number, since it uses less digits than its factorization.

3458368225248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2189 counting only the distinct ones).

The product of its digits is 88473600, while the sum is 60.

The spelling of 3458368225248 in words is "three trillion, four hundred fifty-eight billion, three hundred sixty-eight million, two hundred twenty-five thousand, two hundred forty-eight".