3342451200 has 480 divisors, whose sum is σ = 12403081152. Its totient is φ = 786432000.

The previous prime is 3342451187. The next prime is 3342451207. The reversal of 3342451200 is 21542433.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3342451200² = 22343960048762880000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3342451207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17318304 + ... + 17318496.

Almost surely, 2^3342451200 is an apocalyptic number.

3342451200 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 3342451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201540576).

3342451200 is an abundant number, since it is smaller than the sum of its proper divisors (9060629952).

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

3342451200 is a wasteful number, since it uses less digits than its factorization.

3342451200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3342451200 is about 57813.9360362188. The cubic root of 3342451200 is about 1495.1623705555.

Adding to 3342451200 its reverse (21542433), we get a palindrome (3363993633).

The spelling of 3342451200 in words is "three billion, three hundred forty-two million, four hundred fifty-one thousand, two hundred".