3120400 has 60 divisors (see below), whose sum is σ = 7784100. Its totient is φ = 1200640.

The previous prime is 3120373. The next prime is 3120407. The reversal of 3120400 is 40213.

3120400 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 can be written as a sum of positive squares in 6 ways, for example, as 456976 + 2663424 = 676^2 + 1632^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3120407) 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, 11466 + ... + 11734.

It is an arithmetic number, because the mean of its divisors is an integer number (129735).

Almost surely, 2^3120400 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 3120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3892050).

3120400 is an abundant number, since it is smaller than the sum of its proper divisors (4663700).

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

3120400 is a wasteful number, since it uses less digits than its factorization.

3120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

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

The square root of 3120400 is about 1766.4653973401. The cubic root of 3120400 is about 146.1291157816.

Adding to 3120400 its reverse (40213), we get a palindrome (3160613).

The spelling of 3120400 in words is "three million, one hundred twenty thousand, four hundred".