3430448496 has 360 divisors, whose sum is σ = 10974547584. Its totient is φ = 1036385280.

The previous prime is 3430448473. The next prime is 3430448507. The reversal of 3430448496 is 6948440343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48316141 + ... + 48316211.

Almost surely, 2^3430448496 is an apocalyptic number.

3430448496 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 3430448496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487273792).

3430448496 is an abundant number, since it is smaller than the sum of its proper divisors (7544099088).

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

3430448496 is a wasteful number, since it uses less digits than its factorization.

3430448496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 3430448496 is about 58570.0306983017. The cubic root of 3430448496 is about 1508.1700118134.

The spelling of 3430448496 in words is "three billion, four hundred thirty million, four hundred forty-eight thousand, four hundred ninety-six".