3302000100 has 576 divisors, whose sum is σ = 13199155200. Its totient is φ = 690923520.

The previous prime is 3302000099. The next prime is 3302000113. The reversal of 3302000100 is 10002033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 191 ways as a sum of consecutive naturals, for example, 13815781 + ... + 13816019.

It is an arithmetic number, because the mean of its divisors is an integer number (22915200).

Almost surely, 2^3302000100 is an apocalyptic number.

3302000100 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 3302000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6599577600).

3302000100 is an abundant number, since it is smaller than the sum of its proper divisors (9897155100).

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

3302000100 is a wasteful number, since it uses less digits than its factorization.

3302000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 3302000100 is about 57463.0324643592. The cubic root of 3302000100 is about 1489.1062760438.

Adding to 3302000100 its reverse (10002033), we get a palindrome (3312002133).

The spelling of 3302000100 in words is "three billion, three hundred two million, one hundred", and thus it is an aban number.