3432400224 has 144 divisors (see below), whose sum is σ = 10115933184. Its totient is φ = 1017829120.

The previous prime is 3432400219. The next prime is 3432400247. The reversal of 3432400224 is 4220042343.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3432400194 and 3432400203.

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 23 ways as a sum of consecutive naturals, for example, 542809 + ... + 549095.

It is an arithmetic number, because the mean of its divisors is an integer number (70249536).

Almost surely, 2^3432400224 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 3432400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5057966592).

3432400224 is an abundant number, since it is smaller than the sum of its proper divisors (6683532960).

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

3432400224 is a wasteful number, since it uses less digits than its factorization.

3432400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6369 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3432400224 is about 58586.6898194462. The cubic root of 3432400224 is about 1508.4559782680.

Adding to 3432400224 its reverse (4220042343), we get a palindrome (7652442567).

The spelling of 3432400224 in words is "three billion, four hundred thirty-two million, four hundred thousand, two hundred twenty-four".