3245814030400 has 168 divisors, whose sum is σ = 8253836720640. Its totient is φ = 1255001088000.

The previous prime is 3245814030379. The next prime is 3245814030401. The reversal of 3245814030400 is 40304185423.

It is not an unprimeable number, because it can be changed into a prime (3245814030401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43660461 + ... + 43734739.

It is an arithmetic number, because the mean of its divisors is an integer number (49129980480).

Almost surely, 2^{3245814030400} 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 3245814030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126918360320).

3245814030400 is an abundant number, since it is smaller than the sum of its proper divisors (5008022690240).

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

3245814030400 is a wasteful number, since it uses less digits than its factorization.

3245814030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75213 (or 75198 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The spelling of 3245814030400 in words is "three trillion, two hundred forty-five billion, eight hundred fourteen million, thirty thousand, four hundred".