3430424000 has 112 divisors (see below), whose sum is σ = 8537387040. Its totient is φ = 1365401600.

The previous prime is 3430423991. The next prime is 3430424021. The reversal of 3430424000 is 4240343.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1815056 + ... + 1816944.

It is an arithmetic number, because the mean of its divisors is an integer number (76226670).

Almost surely, 2^3430424000 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 3430424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268693520).

3430424000 is an abundant number, since it is smaller than the sum of its proper divisors (5106963040).

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

3430424000 is a wasteful number, since it uses less digits than its factorization.

3430424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2123 counting only the distinct ones).

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

The square root of 3430424000 is about 58569.8215807424. The cubic root of 3430424000 is about 1508.1664219795.

Adding to 3430424000 its reverse (4240343), we get a palindrome (3434664343).

The spelling of 3430424000 in words is "three billion, four hundred thirty million, four hundred twenty-four thousand".