3428241200 has 60 divisors (see below), whose sum is σ = 8248378320. Its totient is φ = 1369294080.

The previous prime is 3428241191. The next prime is 3428241203. The reversal of 3428241200 is 21428243.

3428241200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3428241200.

It is not an unprimeable number, because it can be changed into a prime (3428241203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284906 + ... + 296694.

It is an arithmetic number, because the mean of its divisors is an integer number (137472972).

Almost surely, 2^3428241200 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 3428241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4124189160).

3428241200 is an abundant number, since it is smaller than the sum of its proper divisors (4820137120).

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

3428241200 is a wasteful number, since it uses less digits than its factorization.

3428241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12534 (or 12523 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 3428241200 is about 58551.1844457480. The cubic root of 3428241200 is about 1507.8464689010.

Adding to 3428241200 its reverse (21428243), we get a palindrome (3449669443).

The spelling of 3428241200 in words is "three billion, four hundred twenty-eight million, two hundred forty-one thousand, two hundred".