3434424000 has 224 divisors, whose sum is σ = 12961168896. Its totient is φ = 784972800.

The previous prime is 3434423873. The next prime is 3434424017. The reversal of 3434424000 is 4244343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157779 + ... + 178221.

Almost surely, 2^3434424000 is an apocalyptic number.

3434424000 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 3434424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480584448).

3434424000 is an abundant number, since it is smaller than the sum of its proper divisors (9526744896).

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

3434424000 is a wasteful number, since it uses less digits than its factorization.

3434424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20480 (or 20460 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 3434424000 is about 58603.9589106402. The cubic root of 3434424000 is about 1508.7523867112.

Adding to 3434424000 its reverse (4244343), we get a palindrome (3438668343).

The spelling of 3434424000 in words is "three billion, four hundred thirty-four million, four hundred twenty-four thousand".