3849424320 has 672 divisors, whose sum is σ = 15427756800. Its totient is φ = 808206336.

The previous prime is 3849424307. The next prime is 3849424321. The reversal of 3849424320 is 234249483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3849424321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52731804 + ... + 52731876.

Almost surely, 2^3849424320 is an apocalyptic number.

3849424320 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 3849424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7713878400).

3849424320 is an abundant number, since it is smaller than the sum of its proper divisors (11578332480).

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

3849424320 is a wasteful number, since it uses less digits than its factorization.

3849424320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 3849424320 is about 62043.7290948892. The cubic root of 3849424320 is about 1567.2270850557.

The spelling of 3849424320 in words is "three billion, eight hundred forty-nine million, four hundred twenty-four thousand, three hundred twenty".