3345042400 has 288 divisors, whose sum is σ = 10134476352. Its totient is φ = 1051852800.

The previous prime is 3345042391. The next prime is 3345042431. The reversal of 3345042400 is 42405433.

It is a super-2 number, since 2×3345042400² = 22378617315595520000, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3902772 + ... + 3903628.

It is an arithmetic number, because the mean of its divisors is an integer number (35189154).

Almost surely, 2^3345042400 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 3345042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067238176).

3345042400 is an abundant number, since it is smaller than the sum of its proper divisors (6789433952).

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

3345042400 is a wasteful number, since it uses less digits than its factorization.

3345042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 929 counting only the distinct ones).

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

The square root of 3345042400 is about 57836.3415163857. The cubic root of 3345042400 is about 1495.5486403689.

Adding to 3345042400 its reverse (42405433), we get a palindrome (3387447833).

The spelling of 3345042400 in words is "three billion, three hundred forty-five million, forty-two thousand, four hundred".