3200104414320 has 240 divisors, whose sum is σ = 11280165835680. Its totient is φ = 749031557120.

The previous prime is 3200104414303. The next prime is 3200104414321. The reversal of 3200104414320 is 234144010023.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200104414321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057779 + ... + 2742098.

It is an arithmetic number, because the mean of its divisors is an integer number (47000690982).

Almost surely, 2^{3200104414320} is an apocalyptic number.

3200104414320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3200104414320 is an abundant number, since it is smaller than the sum of its proper divisors (8080061421360).

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

3200104414320 is a wasteful number, since it uses less digits than its factorization.

3200104414320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799944 (or 3799927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3200104414320 its reverse (234144010023), we get a palindrome (3434248424343).

The spelling of 3200104414320 in words is "three trillion, two hundred billion, one hundred four million, four hundred fourteen thousand, three hundred twenty".