3455612160 has 1152 divisors, whose sum is σ = 15823503360. Its totient is φ = 619315200.

The previous prime is 3455612159. The next prime is 3455612203. The reversal of 3455612160 is 612165543.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111471345 + ... + 111471375.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^3455612160 is an apocalyptic number.

3455612160 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 3455612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911751680).

3455612160 is an abundant number, since it is smaller than the sum of its proper divisors (12367891200).

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

3455612160 is a wasteful number, since it uses less digits than its factorization.

3455612160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3455612160 is about 58784.4550880588. The cubic root of 3455612160 is about 1511.8487013021.

The spelling of 3455612160 in words is "three billion, four hundred fifty-five million, six hundred twelve thousand, one hundred sixty".