3300240342400 has 96 divisors (see below), whose sum is σ = 8155068667200. Its totient is φ = 1319700449280.

The previous prime is 3300240342379. The next prime is 3300240342403. The reversal of 3300240342400 is 42430420033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300240342403) 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 11 ways as a sum of consecutive naturals, for example, 10640721 + ... + 10946479.

It is an arithmetic number, because the mean of its divisors is an integer number (84948631950).

Almost surely, 2^{3300240342400} 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 3300240342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077534333600).

3300240342400 is an abundant number, since it is smaller than the sum of its proper divisors (4854828324800).

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

3300240342400 is a wasteful number, since it uses less digits than its factorization.

3300240342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309156 (or 309139 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 3300240342400 its reverse (42430420033), we get a palindrome (3342670762433).

The spelling of 3300240342400 in words is "three trillion, three hundred billion, two hundred forty million, three hundred forty-two thousand, four hundred".