3582406825120 has 96 divisors (see below), whose sum is σ = 8560524994560. Its totient is φ = 1416531916800.

The previous prime is 3582406825069. The next prime is 3582406825121. The reversal of 3582406825120 is 215286042853.

It is not an unprimeable number, because it can be changed into a prime (3582406825121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66374145 + ... + 66428095.

It is an arithmetic number, because the mean of its divisors is an integer number (89172135360).

Almost surely, 2^{3582406825120} 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 3582406825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280262497280).

3582406825120 is an abundant number, since it is smaller than the sum of its proper divisors (4978118169440).

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

3582406825120 is a wasteful number, since it uses less digits than its factorization.

3582406825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58718 (or 58710 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The spelling of 3582406825120 in words is "three trillion, five hundred eighty-two billion, four hundred six million, eight hundred twenty-five thousand, one hundred twenty".