3430222400 has 84 divisors (see below), whose sum is σ = 9207855600. Its totient is φ = 1247347200.

The previous prime is 3430222391. The next prime is 3430222403. The reversal of 3430222400 is 42220343.

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

It is not an unprimeable number, because it can be changed into a prime (3430222403) 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, 79850 + ... + 115049.

Almost surely, 2^3430222400 is an apocalyptic number.

It is an amenable number.

3430222400 is an abundant number, since it is smaller than the sum of its proper divisors (5777633200).

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

3430222400 is a wasteful number, since it uses less digits than its factorization.

3430222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194932 (or 194917 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 3430222400 is about 58568.1005326278. The cubic root of 3430222400 is about 1508.1368773026.

Adding to 3430222400 its reverse (42220343), we get a palindrome (3472442743).

The spelling of 3430222400 in words is "three billion, four hundred thirty million, two hundred twenty-two thousand, four hundred".