3404100 has 72 divisors (see below), whose sum is σ = 11263168. Its totient is φ = 777600.

The previous prime is 3404099. The next prime is 3404113. The reversal of 3404100 is 14043.

3404100 = 43² + 44² + ... + 217².

3404100 is digitally balanced in base 2 and base 5, because in such bases 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 23 ways as a sum of consecutive naturals, for example, 1290 + ... + 2910.

Almost surely, 2^3404100 is an apocalyptic number.

3404100 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 3404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5631584).

3404100 is an abundant number, since it is smaller than the sum of its proper divisors (7859068).

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

3404100 is a wasteful number, since it uses less digits than its factorization.

3404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1638 counting only the distinct ones).

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

The square root of 3404100 is about 1845.0203250913. The cubic root of 3404100 is about 150.4298779671.

Adding to 3404100 its reverse (14043), we get a palindrome (3418143).

The spelling of 3404100 in words is "three million, four hundred four thousand, one hundred".