3363620100 has 144 divisors (see below), whose sum is σ = 10162891200. Its totient is φ = 857848320.

The previous prime is 3363620077. The next prime is 3363620107. The reversal of 3363620100 is 10263633.

It is a super-2 number, since 2×3363620100² = 22627880354248020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3363620107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 946527 + ... + 950073.

Almost surely, 2^3363620100 is an apocalyptic number.

3363620100 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 3363620100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081445600).

3363620100 is an abundant number, since it is smaller than the sum of its proper divisors (6799271100).

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

3363620100 is a wasteful number, since it uses less digits than its factorization.

3363620100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3695 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

The square root of 3363620100 is about 57996.7249075325. The cubic root of 3363620100 is about 1498.3121904672.

Adding to 3363620100 its reverse (10263633), we get a palindrome (3373883733).

The spelling of 3363620100 in words is "three billion, three hundred sixty-three million, six hundred twenty thousand, one hundred".