3456730412625 has 192 divisors, whose sum is σ = 6764591418624. Its totient is φ = 1562924697600.

The previous prime is 3456730412621. The next prime is 3456730412633. The reversal of 3456730412625 is 5262140376543.

It is a happy number.

It is not a de Polignac number, because 3456730412625 - 2² = 3456730412621 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3456730412621) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1168997647 + ... + 1169000603.

It is an arithmetic number, because the mean of its divisors is an integer number (35232246972).

Almost surely, 2^{3456730412625} is an apocalyptic number.

3456730412625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3456730412625 is a deficient number, since it is larger than the sum of its proper divisors (3307861005999).

3456730412625 is a wasteful number, since it uses less digits than its factorization.

3456730412625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665 (or 3648 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 48.

The spelling of 3456730412625 in words is "three trillion, four hundred fifty-six billion, seven hundred thirty million, four hundred twelve thousand, six hundred twenty-five".