3400100 has 54 divisors (see below), whose sum is σ = 8138802. Its totient is φ = 1232000.

The previous prime is 3400097. The next prime is 3400123. The reversal of 3400100 is 10043.

3400100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 379456 + 3020644 = 616^2 + 1738^2 .

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 17 ways as a sum of consecutive naturals, for example, 11960 + ... + 12240.

Almost surely, 2^3400100 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 3400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069401).

3400100 is an abundant number, since it is smaller than the sum of its proper divisors (4738702).

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

3400100 is a wasteful number, since it uses less digits than its factorization.

3400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 3400100 is about 1843.9360075664. The cubic root of 3400100 is about 150.3709338164.

Adding to 3400100 its reverse (10043), we get a palindrome (3410143).

The spelling of 3400100 in words is "three million, four hundred thousand, one hundred".