3332124100 has 72 divisors (see below), whose sum is σ = 7674586920. Its totient is φ = 1251409920.

The previous prime is 3332124091. The next prime is 3332124121. The reversal of 3332124100 is 14212333.

It can be written as a sum of positive squares in 12 ways, for example, as 25644096 + 3306480004 = 5064^2 + 57502^2 .

It is a super-2 number, since 2×3332124100² = 22206102035601620000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 774756 + ... + 779044.

It is an arithmetic number, because the mean of its divisors is an integer number (106591485).

Almost surely, 2^3332124100 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 3332124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3837293460).

3332124100 is an abundant number, since it is smaller than the sum of its proper divisors (4342462820).

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

3332124100 is a wasteful number, since it uses less digits than its factorization.

3332124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4777 (or 4770 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 3332124100 is about 57724.5537011764. The cubic root of 3332124100 is about 1493.6209248716.

Adding to 3332124100 its reverse (14212333), we get a palindrome (3346336433).

The spelling of 3332124100 in words is "three billion, three hundred thirty-two million, one hundred twenty-four thousand, one hundred".