3468100 has 36 divisors (see below), whose sum is σ = 7638400. Its totient is φ = 1366560.

The previous prime is 3468097. The next prime is 3468107. The reversal of 3468100 is 18643.

3468100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3468100² = 24055435220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3468107) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7681 + ... + 8119.

Almost surely, 2^3468100 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 3468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819200).

3468100 is an abundant number, since it is smaller than the sum of its proper divisors (4170300).

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

3468100 is a wasteful number, since it uses less digits than its factorization.

3468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 3468100 is about 1862.2835444690. The cubic root of 3468100 is about 151.3667677404.

The spelling of 3468100 in words is "three million, four hundred sixty-eight thousand, one hundred".