3332122400 has 144 divisors (see below), whose sum is σ = 8647884000. Its totient is φ = 1249382400.

The previous prime is 3332122393. The next prime is 3332122427. The reversal of 3332122400 is 42212333.

It is a super-2 number, since 2×3332122400² = 22206079377163520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 6677351 + ... + 6677849.

It is an arithmetic number, because the mean of its divisors is an integer number (60054750).

Almost surely, 2^3332122400 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 3332122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4323942000).

3332122400 is an abundant number, since it is smaller than the sum of its proper divisors (5315761600).

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

3332122400 is a wasteful number, since it uses less digits than its factorization.

3332122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3332122400 is about 57724.5389760715. The cubic root of 3332122400 is about 1493.6206708639.

Adding to 3332122400 its reverse (42212333), we get a palindrome (3374334733).

The spelling of 3332122400 in words is "three billion, three hundred thirty-two million, one hundred twenty-two thousand, four hundred".