3414390709249 has 27 divisors (see below), whose sum is σ = 3902594532489. Its totient is φ = 2985464813760.

The previous prime is 3414390709229. The next prime is 3414390709277. The reversal of 3414390709249 is 9429070934143.

The square root of 3414390709249 is 1847807.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1755191025 + 3412635518224 = 41895^2 + 1847332^2 .

It is not a de Polignac number, because 3414390709249 - 2¹¹ = 3414390707201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3414390709249.

It is not an unprimeable number, because it can be changed into a prime (3414390709229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 456404589 + ... + 456412069.

Almost surely, 2^{3414390709249} is an apocalyptic number.

3414390709249 is the 1847807-th square number.

3414390709249 is the 923904-th centered octagonal number.

It is an amenable number.

3414390709249 is a deficient number, since it is larger than the sum of its proper divisors (488203823240).

3414390709249 is an frugal number, since it uses more digits than its factorization.

3414390709249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15026 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 3414390709249 in words is "three trillion, four hundred fourteen billion, three hundred ninety million, seven hundred nine thousand, two hundred forty-nine".