3799444320 has 720 divisors, whose sum is σ = 16184665728. Its totient is φ = 836075520.

The previous prime is 3799444279. The next prime is 3799444339. The reversal of 3799444320 is 234449973.

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 (45).

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 119 ways as a sum of consecutive naturals, for example, 19686144 + ... + 19686336.

Almost surely, 2^3799444320 is an apocalyptic number.

3799444320 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 3799444320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8092332864).

3799444320 is an abundant number, since it is smaller than the sum of its proper divisors (12385221408).

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

3799444320 is a wasteful number, since it uses less digits than its factorization.

3799444320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3799444320 is about 61639.6327049407. The cubic root of 3799444320 is about 1560.4146826578.

The spelling of 3799444320 in words is "three billion, seven hundred ninety-nine million, four hundred forty-four thousand, three hundred twenty".