3430003896 has 192 divisors, whose sum is σ = 10569386880. Its totient is φ = 995639040.

The previous prime is 3430003891. The next prime is 3430003901. The reversal of 3430003896 is 6983000343.

3430003896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3430003891) and next prime (3430003901).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3430003896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430003891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1962495 + ... + 1964241.

It is an arithmetic number, because the mean of its divisors is an integer number (55048890).

Almost surely, 2^3430003896 is an apocalyptic number.

3430003896 is a gapful number since it is divisible by the number (36) 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 3430003896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5284693440).

3430003896 is an abundant number, since it is smaller than the sum of its proper divisors (7139382984).

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

3430003896 is a wasteful number, since it uses less digits than its factorization.

3430003896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3430003896 is about 58566.2351188806. The cubic root of 3430003896 is about 1508.1048540206.

The spelling of 3430003896 in words is "three billion, four hundred thirty million, three thousand, eight hundred ninety-six".