3333442400 has 144 divisors (see below), whose sum is σ = 8469457920. Its totient is φ = 1279756800.

The previous prime is 3333442391. The next prime is 3333442477. The reversal of 3333442400 is 42443333.

It is a super-3 number, since 3×3333442400³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3333442400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3446717 + ... + 3447683.

It is an arithmetic number, because the mean of its divisors is an integer number (58815680).

Almost surely, 2^3333442400 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 3333442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4234728960).

3333442400 is an abundant number, since it is smaller than the sum of its proper divisors (5136015520).

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

3333442400 is a wasteful number, since it uses less digits than its factorization.

3333442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

The square root of 3333442400 is about 57735.9714562767. The cubic root of 3333442400 is about 1493.8178744040.

Adding to 3333442400 its reverse (42443333), we get a palindrome (3375885733).

The spelling of 3333442400 in words is "three billion, three hundred thirty-three million, four hundred forty-two thousand, four hundred".