3409656361 has 8 divisors (see below), whose sum is σ = 3421643400. Its totient is φ = 3397682688.

The previous prime is 3409656347. The next prime is 3409656373. The reversal of 3409656361 is 1636569043.

3409656361 = T₇₈ + T₇₉ + ... + T₂₇₃₄.

It can be written as a sum of positive squares in 4 ways, for example, as 1588500736 + 1821155625 = 39856^2 + 42675^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3409656361 - 2¹³ = 3409648169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3409656311) 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 7 ways as a sum of consecutive naturals, for example, 925455 + ... + 929131.

It is an arithmetic number, because the mean of its divisors is an integer number (427705425).

Almost surely, 2^3409656361 is an apocalyptic number.

It is an amenable number.

3409656361 is a deficient number, since it is larger than the sum of its proper divisors (11987039).

3409656361 is a wasteful number, since it uses less digits than its factorization.

3409656361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6683.

The product of its (nonzero) digits is 349920, while the sum is 43.

The square root of 3409656361 is about 58392.2628521964. The cubic root of 3409656361 is about 1505.1168014190.

The spelling of 3409656361 in words is "three billion, four hundred nine million, six hundred fifty-six thousand, three hundred sixty-one".