3422100 has 144 divisors (see below), whose sum is σ = 11624256. Its totient is φ = 768000.

The previous prime is 3422099. The next prime is 3422119. The reversal of 3422100 is 12243.

3422100 = T₃₀₄ + T₃₀₅ + ... + T₃₆₄.

3422100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 56070 + ... + 56130.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

Almost surely, 2^3422100 is an apocalyptic number.

3422100 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 3422100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5812128).

3422100 is an abundant number, since it is smaller than the sum of its proper divisors (8202156).

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

3422100 is a wasteful number, since it uses less digits than its factorization.

3422100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 99 counting only the distinct ones).

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

The square root of 3422100 is about 1849.8918887330. The cubic root of 3422100 is about 150.6945567534.

Adding to 3422100 its reverse (12243), we get a palindrome (3434343).

It can be divided in two parts, 342 and 2100, that added together give a palindrome (2442).

The spelling of 3422100 in words is "three million, four hundred twenty-two thousand, one hundred".