3442331300 has 72 divisors (see below), whose sum is σ = 7668774792. Its totient is φ = 1340416000.

The previous prime is 3442331287. The next prime is 3442331323. The reversal of 3442331300 is 31332443.

It can be written as a sum of positive squares in 12 ways, for example, as 2545807936 + 896523364 = 50456^2 + 29942^2 .

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 23 ways as a sum of consecutive naturals, for example, 3611624 + ... + 3612576.

It is an arithmetic number, because the mean of its divisors is an integer number (106510761).

Almost surely, 2^3442331300 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 3442331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3834387396).

3442331300 is an abundant number, since it is smaller than the sum of its proper divisors (4226443492).

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

3442331300 is a wasteful number, since it uses less digits than its factorization.

3442331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 3442331300 is about 58671.3839959481. The cubic root of 3442331300 is about 1509.9093991223.

Adding to 3442331300 its reverse (31332443), we get a palindrome (3473663743).

The spelling of 3442331300 in words is "three billion, four hundred forty-two million, three hundred thirty-one thousand, three hundred".