3301320400 has 120 divisors (see below), whose sum is σ = 9113416704. Its totient is φ = 1125772800.

The previous prime is 3301320383. The next prime is 3301320401. The reversal of 3301320400 is 40231033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3301320401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531714 + ... + 537886.

Almost surely, 2^3301320400 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 3301320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556708352).

3301320400 is an abundant number, since it is smaller than the sum of its proper divisors (5812096304).

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

3301320400 is a wasteful number, since it uses less digits than its factorization.

3301320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6389 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3301320400 is about 57457.1179228475. The cubic root of 3301320400 is about 1489.0040940368.

Adding to 3301320400 its reverse (40231033), we get a palindrome (3341551433).

The spelling of 3301320400 in words is "three billion, three hundred one million, three hundred twenty thousand, four hundred".