3301122400 has 72 divisors (see below), whose sum is σ = 8107449840. Its totient is φ = 1312488960.

The previous prime is 3301122379. The next prime is 3301122413. The reversal of 3301122400 is 42211033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121246 + ... + 145954.

It is an arithmetic number, because the mean of its divisors is an integer number (112603470).

Almost surely, 2^3301122400 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 3301122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053724920).

3301122400 is an abundant number, since it is smaller than the sum of its proper divisors (4806327440).

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

3301122400 is a wasteful number, since it uses less digits than its factorization.

3301122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24896 (or 24883 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3301122400 is about 57455.3948728925. The cubic root of 3301122400 is about 1488.9743252707.

Adding to 3301122400 its reverse (42211033), we get a palindrome (3343333433).

The spelling of 3301122400 in words is "three billion, three hundred one million, one hundred twenty-two thousand, four hundred".