3386572525248 has 1008 divisors, whose sum is σ = 11039468977152. Its totient is φ = 914087116800.

The previous prime is 3386572525243. The next prime is 3386572525267. The reversal of 3386572525248 is 8425252756833.

It is a super-2 number, since 2×3386572525248² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3386572525191 and 3386572525200.

It is not an unprimeable number, because it can be changed into a prime (3386572525243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11031180711 + ... + 11031181017.

It is an arithmetic number, because the mean of its divisors is an integer number (10951854144).

Almost surely, 2^{3386572525248} 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 3386572525248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5519734488576).

3386572525248 is an abundant number, since it is smaller than the sum of its proper divisors (7652896451904).

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

3386572525248 is a wasteful number, since it uses less digits than its factorization.

3386572525248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 424 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 60.

The spelling of 3386572525248 in words is "three trillion, three hundred eighty-six billion, five hundred seventy-two million, five hundred twenty-five thousand, two hundred forty-eight".