3362100 has 72 divisors (see below), whose sum is σ = 11124288. Its totient is φ = 768000.

The previous prime is 3362077. The next prime is 3362111. The reversal of 3362100 is 12633.

3362100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3362100² = 22607432820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3362100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1300 + ... + 2900.

It is an arithmetic number, because the mean of its divisors is an integer number (154504).

Almost surely, 2^3362100 is an apocalyptic number.

3362100 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 3362100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5562144).

3362100 is an abundant number, since it is smaller than the sum of its proper divisors (7762188).

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

3362100 is a wasteful number, since it uses less digits than its factorization.

3362100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1625 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3362100 is about 1833.6030104687. The cubic root of 3362100 is about 149.8086448808.

Adding to 3362100 its reverse (12633), we get a palindrome (3374733).

It can be divided in two parts, 336 and 2100, that multiplied together give a square (705600 = 840²).

The spelling of 3362100 in words is "three million, three hundred sixty-two thousand, one hundred".