3844272960 has 560 divisors, whose sum is σ = 15180137280. Its totient is φ = 915701760.

The previous prime is 3844272959. The next prime is 3844272967. The reversal of 3844272960 is 692724483.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3844272967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27656571 + ... + 27656709.

It is an arithmetic number, because the mean of its divisors is an integer number (27107388).

Almost surely, 2^3844272960 is an apocalyptic number.

3844272960 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 3844272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7590068640).

3844272960 is an abundant number, since it is smaller than the sum of its proper divisors (11335864320).

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

3844272960 is a wasteful number, since it uses less digits than its factorization.

3844272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3844272960 is about 62002.2012512459. The cubic root of 3844272960 is about 1566.5276770213.

The spelling of 3844272960 in words is "three billion, eight hundred forty-four million, two hundred seventy-two thousand, nine hundred sixty".