3363200100 has 432 divisors, whose sum is σ = 12372364368. Its totient is φ = 756449280.

The previous prime is 3363200077. The next prime is 3363200101. The reversal of 3363200100 is 10023633.

It is a happy number.

3363200100 is a `hidden beast` number, since 3 + 363 + 200 + 100 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 897481764 + 2465718336 = 29958^2 + 49656^2 .

It is a super-2 number, since 2×3363200100² = 22622229825280020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (3363200101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7359072 + ... + 7359528.

Almost surely, 2^3363200100 is an apocalyptic number.

3363200100 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 3363200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186182184).

3363200100 is an abundant number, since it is smaller than the sum of its proper divisors (9009164268).

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

3363200100 is a wasteful number, since it uses less digits than its factorization.

3363200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3363200100 is about 57993.1039003777. The cubic root of 3363200100 is about 1498.2498253868.

Adding to 3363200100 its reverse (10023633), we get a palindrome (3373223733).

The spelling of 3363200100 in words is "three billion, three hundred sixty-three million, two hundred thousand, one hundred".