3468459264400 has 675 divisors, whose sum is σ = 9867357521151. Its totient is φ = 1171422120960.

The previous prime is 3468459264341. The next prime is 3468459264451. The reversal of 3468459264400 is 44629548643.

It is a happy number.

The square root of 3468459264400 is 1862380.

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

It can be written as a sum of positive squares in 22 ways, for example, as 1344514459024 + 2123944805376 = 1159532^2 + 1457376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 119602043586 + ... + 119602043614.

Almost surely, 2^{3468459264400} is an apocalyptic number.

3468459264400 is the 1862380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3468459264400

3468459264400 is an abundant number, since it is smaller than the sum of its proper divisors (6398898256751).

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

3468459264400 is an equidigital number, since it uses as much as digits as its factorization.

3468459264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 55.

The spelling of 3468459264400 in words is "three trillion, four hundred sixty-eight billion, four hundred fifty-nine million, two hundred sixty-four thousand, four hundred".