3220400413 has 8 divisors (see below), whose sum is σ = 3321642168. Its totient is φ = 3119906304.

The previous prime is 3220400401. The next prime is 3220400429. The reversal of 3220400413 is 3140040223.

It can be written as a sum of positive squares in 4 ways, for example, as 1055080324 + 2165320089 = 32482^2 + 46533^2 .

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

It is not a de Polignac number, because 3220400413 - 2²⁹ = 2683529501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3220400213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178156 + ... + 195397.

It is an arithmetic number, because the mean of its divisors is an integer number (415205271).

Almost surely, 2^3220400413 is an apocalyptic number.

It is an amenable number.

3220400413 is a deficient number, since it is larger than the sum of its proper divisors (101241755).

3220400413 is a wasteful number, since it uses less digits than its factorization.

3220400413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373823.

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3220400413 is about 56748.5719027360. The cubic root of 3220400413 is about 1476.7374585437.

Adding to 3220400413 its reverse (3140040223), we get a palindrome (6360440636).

The spelling of 3220400413 in words is "three billion, two hundred twenty million, four hundred thousand, four hundred thirteen".