3442400221 has 32 divisors (see below), whose sum is σ = 4014017280. Its totient is φ = 2924812800.

The previous prime is 3442400219. The next prime is 3442400231. The reversal of 3442400221 is 1220042443.

It is a happy number.

It is not a de Polignac number, because 3442400221 - 2¹ = 3442400219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3442400192 and 3442400201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442400201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3148951 + ... + 3150043.

It is an arithmetic number, because the mean of its divisors is an integer number (125438040).

Almost surely, 2^3442400221 is an apocalyptic number.

It is an amenable number.

3442400221 is a deficient number, since it is larger than the sum of its proper divisors (571617059).

3442400221 is a wasteful number, since it uses less digits than its factorization.

3442400221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477.

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3442400221 is about 58671.9713406666. The cubic root of 3442400221 is about 1509.9194759919.

Adding to 3442400221 its reverse (1220042443), we get a palindrome (4662442664).

The spelling of 3442400221 in words is "three billion, four hundred forty-two million, four hundred thousand, two hundred twenty-one".