3354341200 has 240 divisors, whose sum is σ = 9609384960. Its totient is φ = 1101312000.

The previous prime is 3354341197. The next prime is 3354341209. The reversal of 3354341200 is 21434533.

It is a super-2 number, since 2×3354341200² = 22503209772034880000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3354341209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7002561 + ... + 7003039.

It is an arithmetic number, because the mean of its divisors is an integer number (40039104).

Almost surely, 2^3354341200 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 3354341200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804692480).

3354341200 is an abundant number, since it is smaller than the sum of its proper divisors (6255043760).

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

3354341200 is a wasteful number, since it uses less digits than its factorization.

3354341200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 3354341200 is about 57916.6746282968. The cubic root of 3354341200 is about 1496.9331710170.

Adding to 3354341200 its reverse (21434533), we get a palindrome (3375775733).

The spelling of 3354341200 in words is "three billion, three hundred fifty-four million, three hundred forty-one thousand, two hundred".