3430504000 has 224 divisors, whose sum is σ = 10593872640. Its totient is φ = 1069056000.

The previous prime is 3430503977. The next prime is 3430504057. The reversal of 3430504000 is 4050343.

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

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, 613216 + ... + 618784.

Almost surely, 2^3430504000 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 3430504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296936320).

3430504000 is an abundant number, since it is smaller than the sum of its proper divisors (7163368640).

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

3430504000 is a wasteful number, since it uses less digits than its factorization.

3430504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5594 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 3430504000 is about 58570.5045223276. The cubic root of 3430504000 is about 1508.1781457369.

Adding to 3430504000 its reverse (4050343), we get a palindrome (3434554343).

The spelling of 3430504000 in words is "three billion, four hundred thirty million, five hundred four thousand".