3402100 has 36 divisors (see below), whose sum is σ = 7953484. Its totient is φ = 1255680.

The previous prime is 3402097. The next prime is 3402109. The reversal of 3402100 is 12043.

It can be written as a sum of positive squares in 6 ways, for example, as 1764 + 3400336 = 42^2 + 1844^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9 + ... + 2608.

Almost surely, 2^3402100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3976742).

3402100 is an abundant number, since it is smaller than the sum of its proper divisors (4551384).

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

3402100 is a wasteful number, since it uses less digits than its factorization.

3402100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 3402100 is about 1844.4782460089. The cubic root of 3402100 is about 150.4004116670.

Adding to 3402100 its reverse (12043), we get a palindrome (3414143).

The spelling of 3402100 in words is "three million, four hundred two thousand, one hundred".