3481342200 has 576 divisors, whose sum is σ = 14249088000. Its totient is φ = 778740480.

The previous prime is 3481342159. The next prime is 3481342201. The reversal of 3481342200 is 22431843.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481342201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15611289 + ... + 15611511.

It is an arithmetic number, because the mean of its divisors is an integer number (24738000).

Almost surely, 2^3481342200 is an apocalyptic number.

3481342200 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 3481342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7124544000).

3481342200 is an abundant number, since it is smaller than the sum of its proper divisors (10767745800).

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

3481342200 is a wasteful number, since it uses less digits than its factorization.

3481342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3481342200 is about 59002.8999287323. The cubic root of 3481342200 is about 1515.5917696048.

The spelling of 3481342200 in words is "three billion, four hundred eighty-one million, three hundred forty-two thousand, two hundred".