3402400224 has 96 divisors (see below), whose sum is σ = 9507456000. Its totient is φ = 1062319104.

The previous prime is 3402400207. The next prime is 3402400273. The reversal of 3402400224 is 4220042043.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3402400224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151857 + ... + 172815.

It is an arithmetic number, because the mean of its divisors is an integer number (99036000).

Almost surely, 2^3402400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4753728000).

3402400224 is an abundant number, since it is smaller than the sum of its proper divisors (6105055776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3402400224 is a wasteful number, since it uses less digits than its factorization.

3402400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21080 (or 21072 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 3402400224 is about 58330.0970683231. The cubic root of 3402400224 is about 1504.0483564881.

Adding to 3402400224 its reverse (4220042043), we get a palindrome (7622442267).

The spelling of 3402400224 in words is "three billion, four hundred two million, four hundred thousand, two hundred twenty-four".