3408458132401 has 27 divisors (see below), whose sum is σ = 4007712138219. Its totient is φ = 2890353207168.

The previous prime is 3408458132357. The next prime is 3408458132411. The reversal of 3408458132401 is 1042318548043.

The square root of 3408458132401 is 1846201.

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

It can be written as a sum of positive squares in only one way, i.e., 1530527751025 + 1877930381376 = 1237145^2 + 1370376^2 .

It is not a de Polignac number, because 3408458132401 - 2¹⁵ = 3408458099633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3408458132411) 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, 1253569120 + ... + 1253571838.

It is an arithmetic number, because the mean of its divisors is an integer number (148433782897).

Almost surely, 2^{3408458132401} is an apocalyptic number.

3408458132401 is the 1846201-st square number.

3408458132401 is the 923101-st centered octagonal number.

It is an amenable number.

3408458132401 is a deficient number, since it is larger than the sum of its proper divisors (599254005818).

3408458132401 is an frugal number, since it uses more digits than its factorization.

3408458132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5646 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 3408458132401 in words is "three trillion, four hundred eight billion, four hundred fifty-eight million, one hundred thirty-two thousand, four hundred one".