3442400 has 72 divisors (see below), whose sum is σ = 9077544. Its totient is φ = 1267200.

The previous prime is 3442379. The next prime is 3442409. The reversal of 3442400 is 42443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10235 + ... + 10565.

It is an arithmetic number, because the mean of its divisors is an integer number (126077).

Almost surely, 2^3442400 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 3442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4538772).

3442400 is an abundant number, since it is smaller than the sum of its proper divisors (5635144).

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

3442400 is a wasteful number, since it uses less digits than its factorization.

3442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 3442400 is about 1855.3705829295. The cubic root of 3442400 is about 150.9919443680.

Adding to 3442400 its reverse (42443), we get a palindrome (3484843).

It can be divided in two parts, 344 and 2400, that added together give a cube (2744 = 14³).

The spelling of 3442400 in words is "three million, four hundred forty-two thousand, four hundred".