3455617248 has 192 divisors, whose sum is σ = 10677139200. Its totient is φ = 1084285440.

The previous prime is 3455617211. The next prime is 3455617261. The reversal of 3455617248 is 8427165543.

3455617248 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 617 + 24 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2970715 + ... + 2971877.

It is an arithmetic number, because the mean of its divisors is an integer number (55610100).

Almost surely, 2^3455617248 is an apocalyptic number.

3455617248 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 3455617248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5338569600).

3455617248 is an abundant number, since it is smaller than the sum of its proper divisors (7221521952).

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

3455617248 is a wasteful number, since it uses less digits than its factorization.

3455617248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1368 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3455617248 is about 58784.4983647900. The cubic root of 3455617248 is about 1511.8494433107.

The spelling of 3455617248 in words is "three billion, four hundred fifty-five million, six hundred seventeen thousand, two hundred forty-eight".