3349408759321 has 9 divisors (see below), whose sum is σ = 3362053002399. Its totient is φ = 3336811912584.

The previous prime is 3349408759297. The next prime is 3349408759343. The reversal of 3349408759321 is 1239578049433.

The square root of 3349408759321 is 1830139.

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

3349408759321 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 only one way, i.e., 577303638025 + 2772105121296 = 759805^2 + 1664964^2 .

It is not a de Polignac number, because 3349408759321 - 2¹⁵ = 3349408726553 is a prime.

It is a super-2 number, since 2×3349408759321² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3349408759121) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 506945200 + ... + 506951806.

It is an arithmetic number, because the mean of its divisors is an integer number (373561444711).

Almost surely, 2^{3349408759321} is an apocalyptic number.

3349408759321 is the 1830139-th square number.

3349408759321 is the 915070-th centered octagonal number.

It is an amenable number.

3349408759321 is a deficient number, since it is larger than the sum of its proper divisors (12644243078).

3349408759321 is an frugal number, since it uses more digits than its factorization.

3349408759321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13768 (or 6884 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

It can be divided in two parts, 3349408 and 759321, that added together give a square (4108729 = 2027²).

The spelling of 3349408759321 in words is "three trillion, three hundred forty-nine billion, four hundred eight million, seven hundred fifty-nine thousand, three hundred twenty-one".