3422400 has 168 divisors, whose sum is σ = 12094464. Its totient is φ = 844800.

The previous prime is 3422387. The next prime is 3422401. The reversal of 3422400 is 42243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3422400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3422401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110385 + ... + 110415.

Almost surely, 2^3422400 is an apocalyptic number.

3422400 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 3422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6047232).

3422400 is an abundant number, since it is smaller than the sum of its proper divisors (8672064).

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

3422400 is a wasteful number, since it uses less digits than its factorization.

3422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 3422400 is about 1849.9729727755. The cubic root of 3422400 is about 150.6989601943.

Adding to 3422400 its reverse (42243), we get a palindrome (3464643).

The spelling of 3422400 in words is "three million, four hundred twenty-two thousand, four hundred".