3456235416352 has 48 divisors (see below), whose sum is σ = 6866406099000. Its totient is φ = 1712441364480.

The previous prime is 3456235416341. The next prime is 3456235416353. The reversal of 3456235416352 is 2536145326543.

3456235416352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 558600780816 + 2897634635536 = 747396^2 + 1702244^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3456235416296 and 3456235416305.

It is not an unprimeable number, because it can be changed into a prime (3456235416353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146424 + ... + 2868232.

Almost surely, 2^{3456235416352} is an apocalyptic number.

3456235416352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3456235416352 is a deficient number, since it is larger than the sum of its proper divisors (3410170682648).

3456235416352 is a wasteful number, since it uses less digits than its factorization.

3456235416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722389 (or 1722381 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 49.

The spelling of 3456235416352 in words is "three trillion, four hundred fifty-six billion, two hundred thirty-five million, four hundred sixteen thousand, three hundred fifty-two".