3421600 has 144 divisors (see below), whose sum is σ = 10499328. Its totient is φ = 1059840.

The previous prime is 3421597. The next prime is 3421603. The reversal of 3421600 is 61243.

It is an interprime number because it is at equal distance from previous prime (3421597) and next prime (3421603).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421603) 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, 72777 + ... + 72823.

It is an arithmetic number, because the mean of its divisors is an integer number (72912).

Almost surely, 2^3421600 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 3421600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5249664).

3421600 is an abundant number, since it is smaller than the sum of its proper divisors (7077728).

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

3421600 is a wasteful number, since it uses less digits than its factorization.

3421600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3421600 is about 1849.7567407635. The cubic root of 3421600 is about 150.6872171131.

Adding to 3421600 its reverse (61243), we get a palindrome (3482843).

The spelling of 3421600 in words is "three million, four hundred twenty-one thousand, six hundred".