3423624960 has 288 divisors, whose sum is σ = 12689413632. Its totient is φ = 770457600.

The previous prime is 3423624949. The next prime is 3423624961. The reversal of 3423624960 is 694263243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3423624961) 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 31 ways as a sum of consecutive naturals, for example, 1800010 + ... + 1801910.

It is an arithmetic number, because the mean of its divisors is an integer number (44060464).

Almost surely, 2^3423624960 is an apocalyptic number.

3423624960 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 3423624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6344706816).

3423624960 is an abundant number, since it is smaller than the sum of its proper divisors (9265788672).

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

3423624960 is a wasteful number, since it uses less digits than its factorization.

3423624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1999 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 39.

The square root of 3423624960 is about 58511.7506147270. The cubic root of 3423624960 is about 1507.1693765443.

The spelling of 3423624960 in words is "three billion, four hundred twenty-three million, six hundred twenty-four thousand, nine hundred sixty".