3106400 has 72 divisors (see below), whose sum is σ = 8296344. Its totient is φ = 1126400.

The previous prime is 3106387. The next prime is 3106421. The reversal of 3106400 is 46013.

3106400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 8624 + ... + 8976.

It is an arithmetic number, because the mean of its divisors is an integer number (115227).

Almost surely, 2^3106400 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 3106400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4148172).

3106400 is an abundant number, since it is smaller than the sum of its proper divisors (5189944).

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

3106400 is a wasteful number, since it uses less digits than its factorization.

3106400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3106400 is about 1762.4982269495. The cubic root of 3106400 is about 145.9102469564.

The spelling of 3106400 in words is "three million, one hundred six thousand, four hundred".