3333122400 has 144 divisors (see below), whose sum is σ = 11033668800. Its totient is φ = 873730560.

The previous prime is 3333122381. The next prime is 3333122407. The reversal of 3333122400 is 42213333.

It is a super-2 number, since 2×3333122400² = 22219409866763520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3333122407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129831 + ... + 153369.

It is an arithmetic number, because the mean of its divisors is an integer number (76622700).

Almost surely, 2^3333122400 is an apocalyptic number.

3333122400 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 3333122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5516834400).

3333122400 is an abundant number, since it is smaller than the sum of its proper divisors (7700546400).

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

3333122400 is a wasteful number, since it uses less digits than its factorization.

3333122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23621 (or 23608 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 3333122400 is about 57733.2001538110. The cubic root of 3333122400 is about 1493.7700722664.

Adding to 3333122400 its reverse (42213333), we get a palindrome (3375335733).

The spelling of 3333122400 in words is "three billion, three hundred thirty-three million, one hundred twenty-two thousand, four hundred".