3453357172608 has 480 divisors, whose sum is σ = 11967657019560. Its totient is φ = 985632012288.

The previous prime is 3453357172571. The next prime is 3453357172613. The reversal of 3453357172608 is 8062717533543.

3453357172608 is a `hidden beast` number, since 3 + 4 + 5 + 3 + 3 + 571 + 7 + 2 + 60 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 570516910 + ... + 570522962.

Almost surely, 2^{3453357172608} 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 3453357172608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983828509780).

3453357172608 is an abundant number, since it is smaller than the sum of its proper divisors (8514299846952).

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

3453357172608 is a wasteful number, since it uses less digits than its factorization.

3453357172608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7216 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 3453357172608 in words is "three trillion, four hundred fifty-three billion, three hundred fifty-seven million, one hundred seventy-two thousand, six hundred eight".