3288800385025 has 27 divisors (see below), whose sum is σ = 4093110273091. Its totient is φ = 2621399715440.

The previous prime is 3288800384999. The next prime is 3288800385029. The reversal of 3288800385025 is 5205830088823.

The square root of 3288800385025 is 1813505.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1183968138609 + 2104832246416 = 1088103^2 + 1450804^2 .

It is not a de Polignac number, because 3288800385025 - 2⁷ = 3288800384897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3288800385029) 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 26 ways as a sum of consecutive naturals, for example, 3472861602 + ... + 3472862548.

Almost surely, 2^{3288800385025} is an apocalyptic number.

3288800385025 is the 1813505-th square number.

3288800385025 is the 906753-rd centered octagonal number.

It is an amenable number.

3288800385025 is a deficient number, since it is larger than the sum of its proper divisors (804309888066).

3288800385025 is an frugal number, since it uses more digits than its factorization.

3288800385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 52.

The spelling of 3288800385025 in words is "three trillion, two hundred eighty-eight billion, eight hundred million, three hundred eighty-five thousand, twenty-five".