3795444480 has 288 divisors, whose sum is σ = 13088827584. Its totient is φ = 933756928.

The previous prime is 3795444473. The next prime is 3795444491. The reversal of 3795444480 is 844445973.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3459292 + ... + 3460388.

It is an arithmetic number, because the mean of its divisors is an integer number (45447318).

Almost surely, 2^3795444480 is an apocalyptic number.

3795444480 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 3795444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544413792).

3795444480 is an abundant number, since it is smaller than the sum of its proper divisors (9293383104).

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

3795444480 is a wasteful number, since it uses less digits than its factorization.

3795444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 3795444480 is about 61607.1788024740. The cubic root of 3795444480 is about 1559.8669182988.

The spelling of 3795444480 in words is "three billion, seven hundred ninety-five million, four hundred forty-four thousand, four hundred eighty".