3200004330400 has 144 divisors (see below), whose sum is σ = 7832649615840. Its totient is φ = 1276624972800.

The previous prime is 3200004330379. The next prime is 3200004330427. The reversal of 3200004330400 is 40334000023.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521935335 + ... + 521941465.

It is an arithmetic number, because the mean of its divisors is an integer number (54393400110).

Almost surely, 2^{3200004330400} 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 3200004330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916324807920).

3200004330400 is an abundant number, since it is smaller than the sum of its proper divisors (4632645285440).

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

3200004330400 is a wasteful number, since it uses less digits than its factorization.

3200004330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

Adding to 3200004330400 its reverse (40334000023), we get a palindrome (3240338330423).

The spelling of 3200004330400 in words is "three trillion, two hundred billion, four million, three hundred thirty thousand, four hundred".