3430633920 has 448 divisors, whose sum is σ = 13286353920. Its totient is φ = 732561408.

The previous prime is 3430633919. The next prime is 3430633957. The reversal of 3430633920 is 293360343.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12384822 + ... + 12385098.

It is an arithmetic number, because the mean of its divisors is an integer number (29657040).

Almost surely, 2^3430633920 is an apocalyptic number.

3430633920 is a gapful number since it is divisible by the number (30) 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 3430633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6643176960).

3430633920 is an abundant number, since it is smaller than the sum of its proper divisors (9855720000).

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

3430633920 is a wasteful number, since it uses less digits than its factorization.

3430633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 33.

The square root of 3430633920 is about 58571.6136024952. The cubic root of 3430633920 is about 1508.1971847305.

The spelling of 3430633920 in words is "three billion, four hundred thirty million, six hundred thirty-three thousand, nine hundred twenty".