3424335446016 has 405 divisors, whose sum is σ = 10185964660053. Its totient is φ = 1108521123840.

The previous prime is 3424335446003. The next prime is 3424335446027. The reversal of 3424335446016 is 6106445334243.

It is a happy number.

The square root of 3424335446016 is 1850496.

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

3424335446016 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 3 + 35 + 4 + 4 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 111353020416 + 3312982425600 = 333696^2 + 1820160^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43346018265 + ... + 43346018343.

Almost surely, 2^{3424335446016} is an apocalyptic number.

3424335446016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3424335446016 is the 1850496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3424335446016

3424335446016 is an abundant number, since it is smaller than the sum of its proper divisors (6761629214037).

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

3424335446016 is an frugal number, since it uses more digits than its factorization.

3424335446016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 3424335446016 in words is "three trillion, four hundred twenty-four billion, three hundred thirty-five million, four hundred forty-six thousand, sixteen".