3209876349225 has 96 divisors (see below), whose sum is σ = 6537688894464. Its totient is φ = 1353252614400.

The previous prime is 3209876349223. The next prime is 3209876349283. The reversal of 3209876349225 is 5229436789023.

3209876349225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3209876349225 - 2¹ = 3209876349223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3209876349223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7230534 + ... + 7661616.

It is an arithmetic number, because the mean of its divisors is an integer number (68100925984).

Almost surely, 2^{3209876349225} is an apocalyptic number.

3209876349225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3209876349225 is an abundant number, since it is smaller than the sum of its proper divisors (3327812545239).

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

3209876349225 is a wasteful number, since it uses less digits than its factorization.

3209876349225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432207 (or 432202 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 3209876349225 in words is "three trillion, two hundred nine billion, eight hundred seventy-six million, three hundred forty-nine thousand, two hundred twenty-five".