3408319746825 has 24 divisors (see below), whose sum is σ = 6440101313088. Its totient is φ = 1558089026880.

The previous prime is 3408319746757. The next prime is 3408319746889. The reversal of 3408319746825 is 5286479138043.

It is not a de Polignac number, because 3408319746825 - 2²⁰ = 3408318698249 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3246018282 + ... + 3246019331.

It is an arithmetic number, because the mean of its divisors is an integer number (268337554712).

It is a 1-persistent number, because it is pandigital, but 2⋅3408319746825 = 6816639493650 is not.

Almost surely, 2^{3408319746825} is an apocalyptic number.

3408319746825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3408319746825 is a deficient number, since it is larger than the sum of its proper divisors (3031781566263).

3408319746825 is a wasteful number, since it uses less digits than its factorization.

3408319746825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492037633 (or 6492037628 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 3408319746825 in words is "three trillion, four hundred eight billion, three hundred nineteen million, seven hundred forty-six thousand, eight hundred twenty-five".