3492114438400 has 729 divisors, whose sum is σ = 10419930000417. Its totient is φ = 1155317452800.

The previous prime is 3492114438361. The next prime is 3492114438403. The reversal of 3492114438400 is 48344112943.

The square root of 3492114438400 is 1868720.

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

It can be written as a sum of positive squares in only one way, i.e., 1257161197824 + 2234953240576 = 1121232^2 + 1494976^2 .

It is not an unprimeable number, because it can be changed into a prime (3492114438403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49184710365 + ... + 49184710435.

Almost surely, 2^{3492114438400} is an apocalyptic number.

3492114438400 is the 1868720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3492114438400

3492114438400 is an abundant number, since it is smaller than the sum of its proper divisors (6927815562017).

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

3492114438400 is an frugal number, since it uses more digits than its factorization.

3492114438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 3492114438400 in words is "three trillion, four hundred ninety-two billion, one hundred fourteen million, four hundred thirty-eight thousand, four hundred".