3450141200 has 120 divisors (see below), whose sum is σ = 9066919680. Its totient is φ = 1251212800.

The previous prime is 3450141193. The next prime is 3450141203. The reversal of 3450141200 is 21410543.

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

It is not an unprimeable number, because it can be changed into a prime (3450141203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2106782 + ... + 2108418.

It is an arithmetic number, because the mean of its divisors is an integer number (75557664).

Almost surely, 2^3450141200 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 3450141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4533459840).

3450141200 is an abundant number, since it is smaller than the sum of its proper divisors (5616778480).

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

3450141200 is a wasteful number, since it uses less digits than its factorization.

3450141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 3450141200 is about 58737.9025842769. The cubic root of 3450141200 is about 1511.0504218385.

Adding to 3450141200 its reverse (21410543), we get a palindrome (3471551743).

The spelling of 3450141200 in words is "three billion, four hundred fifty million, one hundred forty-one thousand, two hundred".