3421365600 has 144 divisors (see below), whose sum is σ = 11791776528. Its totient is φ = 858685440.

The previous prime is 3421365593. The next prime is 3421365601. The reversal of 3421365600 is 65631243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3421365601) 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, 1129 + ... + 82728.

It is an arithmetic number, because the mean of its divisors is an integer number (81887337).

Almost surely, 2^3421365600 is an apocalyptic number.

3421365600 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 3421365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895888264).

3421365600 is an abundant number, since it is smaller than the sum of its proper divisors (8370410928).

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

3421365600 is a wasteful number, since it uses less digits than its factorization.

3421365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83897 (or 83884 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 3421365600 is about 58492.4405372181. The cubic root of 3421365600 is about 1506.8377604364.

Adding to 3421365600 its reverse (65631243), we get a palindrome (3486996843).

The spelling of 3421365600 in words is "three billion, four hundred twenty-one million, three hundred sixty-five thousand, six hundred".