3427218300 has 144 divisors (see below), whose sum is σ = 10838806272. Its totient is φ = 829209600.

The previous prime is 3427218287. The next prime is 3427218307. The reversal of 3427218300 is 38127243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3427218307) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3223569 + ... + 3224631.

It is an arithmetic number, because the mean of its divisors is an integer number (75269488).

Almost surely, 2^3427218300 is an apocalyptic number.

3427218300 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 3427218300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419403136).

3427218300 is an abundant number, since it is smaller than the sum of its proper divisors (7411587972).

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

3427218300 is a wasteful number, since it uses less digits than its factorization.

3427218300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3427218300 is about 58542.4487017754. The cubic root of 3427218300 is about 1507.6964863015.

The spelling of 3427218300 in words is "three billion, four hundred twenty-seven million, two hundred eighteen thousand, three hundred".