3344100 has 72 divisors (see below), whose sum is σ = 9874368. Its totient is φ = 873600.

The previous prime is 3344041. The next prime is 3344113. The reversal of 3344100 is 14433.

3344100 = T₂₀₇ + T₂₀₈ + ... + T₃₀₆.

It is a super-2 number, since 2×3344100² = 22366009620000, which contains 22 as substring.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3344100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21222 + ... + 21378.

It is an arithmetic number, because the mean of its divisors is an integer number (137144).

Almost surely, 2^3344100 is an apocalyptic number.

3344100 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 3344100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937184).

3344100 is an abundant number, since it is smaller than the sum of its proper divisors (6530268).

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

3344100 is a wasteful number, since it uses less digits than its factorization.

3344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3344100 is about 1828.6880543165. The cubic root of 3344100 is about 149.5408180025.

Adding to 3344100 its reverse (14433), we get a palindrome (3358533).

The spelling of 3344100 in words is "three million, three hundred forty-four thousand, one hundred".