3456100 has 72 divisors (see below), whose sum is σ = 8436960. Its totient is φ = 1221120.

The previous prime is 3456091. The next prime is 3456107. The reversal of 3456100 is 16543.

3456100 = T₁₅₄ + T₁₅₅ + ... + T₂₈₉.

3456100 is digitally balanced in base 2, because in such base 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 (19).

It is not an unprimeable number, because it can be changed into a prime (3456107) 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 23 ways as a sum of consecutive naturals, for example, 32247 + ... + 32353.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^3456100 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 3456100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4218480).

3456100 is an abundant number, since it is smaller than the sum of its proper divisors (4980860).

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

3456100 is a wasteful number, since it uses less digits than its factorization.

3456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 3456100 is about 1859.0589017027. The cubic root of 3456100 is about 151.1919842153.

The spelling of 3456100 in words is "three million, four hundred fifty-six thousand, one hundred".