3224240400 has 240 divisors, whose sum is σ = 11119431168. Its totient is φ = 795648000.

The previous prime is 3224240381. The next prime is 3224240429. The reversal of 3224240400 is 40424223.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1243105 + ... + 1245695.

Almost surely, 2^3224240400 is an apocalyptic number.

3224240400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3224240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559715584).

3224240400 is an abundant number, since it is smaller than the sum of its proper divisors (7895190768).

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

3224240400 is a wasteful number, since it uses less digits than its factorization.

3224240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2679 counting only the distinct ones).

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

The square root of 3224240400 is about 56782.3951590632. The cubic root of 3224240400 is about 1477.3241765004.

Adding to 3224240400 its reverse (40424223), we get a palindrome (3264664623).

The spelling of 3224240400 in words is "three billion, two hundred twenty-four million, two hundred forty thousand, four hundred".