3455948160 has 256 divisors, whose sum is σ = 13988851200. Its totient is φ = 789903360.

The previous prime is 3455948149. The next prime is 3455948189. The reversal of 3455948160 is 618495543.

3455948160 is a `hidden beast` number, since 3 + 45 + 594 + 8 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106675 + ... + 135245.

It is an arithmetic number, because the mean of its divisors is an integer number (54643950).

Almost surely, 2^3455948160 is an apocalyptic number.

3455948160 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 3455948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994425600).

3455948160 is an abundant number, since it is smaller than the sum of its proper divisors (10532903040).

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

3455948160 is a wasteful number, since it uses less digits than its factorization.

3455948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28606 (or 28588 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 3455948160 is about 58787.3129169892. The cubic root of 3455948160 is about 1511.8977003098.

The spelling of 3455948160 in words is "three billion, four hundred fifty-five million, nine hundred forty-eight thousand, one hundred sixty".