3200406120520 has 512 divisors, whose sum is σ = 8963923968000. Its totient is φ = 1003655577600.

The previous prime is 3200406120497. The next prime is 3200406120521. The reversal of 3200406120520 is 250216040023.

It is not an unprimeable number, because it can be changed into a prime (3200406120521) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8914780101 + ... + 8914780459.

It is an arithmetic number, because the mean of its divisors is an integer number (17507664000).

Almost surely, 2^{3200406120520} 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 3200406120520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481961984000).

3200406120520 is an abundant number, since it is smaller than the sum of its proper divisors (5763517847480).

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

3200406120520 is a wasteful number, since it uses less digits than its factorization.

3200406120520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 3200406120520 in words is "three trillion, two hundred billion, four hundred six million, one hundred twenty thousand, five hundred twenty".