3352354400 has 72 divisors (see below), whose sum is σ = 8208068400. Its totient is φ = 1336988160.

The previous prime is 3352354393. The next prime is 3352354409. The reversal of 3352354400 is 44532533.

3352354400 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 2×3352354400² = 22476560046398720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3352354409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 273197 + ... + 285203.

It is an arithmetic number, because the mean of its divisors is an integer number (114000950).

Almost surely, 2^3352354400 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 3352354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104034200).

3352354400 is an abundant number, since it is smaller than the sum of its proper divisors (4855714000).

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

3352354400 is a wasteful number, since it uses less digits than its factorization.

3352354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12376 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 3352354400 is about 57899.5198598399. The cubic root of 3352354400 is about 1496.6375646138.

Adding to 3352354400 its reverse (44532533), we get a palindrome (3396886933).

The spelling of 3352354400 in words is "three billion, three hundred fifty-two million, three hundred fifty-four thousand, four hundred".