3430478304 has 240 divisors, whose sum is σ = 11152753920. Its totient is φ = 1025706240.

The previous prime is 3430478279. The next prime is 3430478327. The reversal of 3430478304 is 4038740343.

It is a happy number.

3430478304 is a `hidden beast` number, since 343 + 0 + 4 + 7 + 8 + 304 = 666.

3430478304 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 (36).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2251687 + ... + 2253209.

It is an arithmetic number, because the mean of its divisors is an integer number (46469808).

Almost surely, 2^3430478304 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 3430478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576376960).

3430478304 is an abundant number, since it is smaller than the sum of its proper divisors (7722275616).

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

3430478304 is a wasteful number, since it uses less digits than its factorization.

3430478304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3430478304 is about 58570.2851623586. The cubic root of 3430478304 is about 1508.1743800859.

The spelling of 3430478304 in words is "three billion, four hundred thirty million, four hundred seventy-eight thousand, three hundred four".