3423409920 has 720 divisors, whose sum is σ = 14423935680. Its totient is φ = 759103488.

The previous prime is 3423409903. The next prime is 3423409921. The reversal of 3423409920 is 299043243.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423409921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38465236 + ... + 38465324.

It is an arithmetic number, because the mean of its divisors is an integer number (20033244).

Almost surely, 2^3423409920 is an apocalyptic number.

3423409920 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 3423409920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211967840).

3423409920 is an abundant number, since it is smaller than the sum of its proper divisors (11000525760).

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

3423409920 is an equidigital number, since it uses as much as digits as its factorization.

3423409920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 159 counting only the distinct ones).

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

The square root of 3423409920 is about 58509.9130062590. The cubic root of 3423409920 is about 1507.1378204702.

The spelling of 3423409920 in words is "three billion, four hundred twenty-three million, four hundred nine thousand, nine hundred twenty".