3455012000 has 384 divisors, whose sum is σ = 10189670400. Its totient is φ = 1136640000.

The previous prime is 3455011993. The next prime is 3455012047. The reversal of 3455012000 is 2105543.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 63 ways as a sum of consecutive naturals, for example, 23187926 + ... + 23188074.

It is an arithmetic number, because the mean of its divisors is an integer number (26535600).

Almost surely, 2^3455012000 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 3455012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094835200).

3455012000 is an abundant number, since it is smaller than the sum of its proper divisors (6734658400).

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

3455012000 is a wasteful number, since it uses less digits than its factorization.

3455012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 3455012000 is about 58779.3501154955. The cubic root of 3455012000 is about 1511.7611718371.

Adding to 3455012000 its reverse (2105543), we get a palindrome (3457117543).

The spelling of 3455012000 in words is "three billion, four hundred fifty-five million, twelve thousand".