3102400 has 84 divisors (see below), whose sum is σ = 8755888. Its totient is φ = 1059840.

The previous prime is 3102389. The next prime is 3102419. The reversal of 3102400 is 42013.

3102400 is digitally balanced in base 2 and base 5, because in such bases 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 (10).

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, 11062 + ... + 11338.

Almost surely, 2^3102400 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 3102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4377944).

3102400 is an abundant number, since it is smaller than the sum of its proper divisors (5653488).

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

3102400 is a wasteful number, since it uses less digits than its factorization.

3102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

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

The square root of 3102400 is about 1761.3631085043. The cubic root of 3102400 is about 145.8475922566.

Adding to 3102400 its reverse (42013), we get a palindrome (3144413).

The spelling of 3102400 in words is "three million, one hundred two thousand, four hundred".