3122400 has 72 divisors (see below), whose sum is σ = 10171224. Its totient is φ = 832000.

The previous prime is 3122381. The next prime is 3122419. The reversal of 3122400 is 42213.

3122400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3122381) and next prime (3122419).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1750 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (141267).

Almost surely, 2^3122400 is an apocalyptic number.

3122400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085612).

3122400 is an abundant number, since it is smaller than the sum of its proper divisors (7048824).

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

3122400 is a wasteful number, since it uses less digits than its factorization.

3122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3122400 is about 1767.0314088889. The cubic root of 3122400 is about 146.1603292813.

Adding to 3122400 its reverse (42213), we get a palindrome (3164613).

The spelling of 3122400 in words is "three million, one hundred twenty-two thousand, four hundred".