3352224400 has 240 divisors, whose sum is σ = 9485392896. Its totient is φ = 1114882560.

The previous prime is 3352224391. The next prime is 3352224413. The reversal of 3352224400 is 44222533.

3352224400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3352224400² = 22474816855910720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 20073117 + ... + 20073283.

Almost surely, 2^3352224400 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 3352224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4742696448).

3352224400 is an abundant number, since it is smaller than the sum of its proper divisors (6133168496).

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

3352224400 is a wasteful number, since it uses less digits than its factorization.

3352224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 3352224400 is about 57898.3972144307. The cubic root of 3352224400 is about 1496.6182184692.

Adding to 3352224400 its reverse (44222533), we get a palindrome (3396446933).

The spelling of 3352224400 in words is "three billion, three hundred fifty-two million, two hundred twenty-four thousand, four hundred".