3421222400 has 120 divisors (see below), whose sum is σ = 8845643664. Its totient is φ = 1308876800.

The previous prime is 3421222391. The next prime is 3421222433. The reversal of 3421222400 is 42221243.

3421222400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 288590 + ... + 300210.

Almost surely, 2^3421222400 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 3421222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4422821832).

3421222400 is an abundant number, since it is smaller than the sum of its proper divisors (5424421264).

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

3421222400 is a wasteful number, since it uses less digits than its factorization.

3421222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11672 (or 11651 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3421222400 is about 58491.2164346067. The cubic root of 3421222400 is about 1506.8167374295.

Adding to 3421222400 its reverse (42221243), we get a palindrome (3463443643).

The spelling of 3421222400 in words is "three billion, four hundred twenty-one million, two hundred twenty-two thousand, four hundred".