3316242400 has 72 divisors (see below), whose sum is σ = 8130979584. Its totient is φ = 1320729600.

The previous prime is 3316242389. The next prime is 3316242443. The reversal of 3316242400 is 42426133.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 177505 + ... + 195295.

It is an arithmetic number, because the mean of its divisors is an integer number (112930272).

Almost surely, 2^3316242400 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 3316242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065489792).

3316242400 is an abundant number, since it is smaller than the sum of its proper divisors (4814737184).

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

3316242400 is a wasteful number, since it uses less digits than its factorization.

3316242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18044 (or 18031 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 3316242400 is about 57586.8248820857. The cubic root of 3316242400 is about 1491.2441599941.

Adding to 3316242400 its reverse (42426133), we get a palindrome (3358668533).

The spelling of 3316242400 in words is "three billion, three hundred sixteen million, two hundred forty-two thousand, four hundred".