3242100 has 72 divisors (see below), whose sum is σ = 9561888. Its totient is φ = 848000.

The previous prime is 3242093. The next prime is 3242111. The reversal of 3242100 is 12423.

3242100 = T₂₀₃ + T₂₀₄ + ... + T₃₀₂.

3242100 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 2×3242100² = 21022424820000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 30247 + ... + 30353.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

Almost surely, 2^3242100 is an apocalyptic number.

3242100 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 3242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780944).

3242100 is an abundant number, since it is smaller than the sum of its proper divisors (6319788).

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

3242100 is a wasteful number, since it uses less digits than its factorization.

3242100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3242100 is about 1800.5832388423. The cubic root of 3242100 is about 148.0046869711.

Adding to 3242100 its reverse (12423), we get a palindrome (3254523).

The spelling of 3242100 in words is "three million, two hundred forty-two thousand, one hundred".