3397518951696 has 135 divisors (see below), whose sum is σ = 9875273654181. Its totient is φ = 1132307247744.

The previous prime is 3397518951691. The next prime is 3397518951733. The reversal of 3397518951696 is 6961598157933.

The square root of 3397518951696 is 1843236.

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

3397518951696 is a `hidden beast` number, since 3 + 3 + 9 + 7 + 5 + 18 + 9 + 516 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3246353511696 + 151165440000 = 1801764^2 + 388800^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3397518951691) 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 26 ways as a sum of consecutive naturals, for example, 597205620 + ... + 597211308.

Almost surely, 2^{3397518951696} is an apocalyptic number.

3397518951696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3397518951696 is the 1843236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3397518951696

3397518951696 is an abundant number, since it is smaller than the sum of its proper divisors (6477754702485).

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

3397518951696 is an frugal number, since it uses more digits than its factorization.

3397518951696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11410 (or 5694 counting only the distinct ones).

The product of its digits is 330674400, while the sum is 72.

The spelling of 3397518951696 in words is "three trillion, three hundred ninety-seven billion, five hundred eighteen million, nine hundred fifty-one thousand, six hundred ninety-six".