3849075360 has 288 divisors, whose sum is σ = 14265538560. Its totient is φ = 939423744.

The previous prime is 3849075343. The next prime is 3849075371. The reversal of 3849075360 is 635709483.

3849075360 is a `hidden beast` number, since 38 + 490 + 75 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3849075360² = 29630762253918259200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2376631 + ... + 2378249.

It is an arithmetic number, because the mean of its divisors is an integer number (49533120).

Almost surely, 2^3849075360 is an apocalyptic number.

3849075360 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 3849075360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132769280).

3849075360 is an abundant number, since it is smaller than the sum of its proper divisors (10416463200).

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

3849075360 is a wasteful number, since it uses less digits than its factorization.

3849075360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3849075360 is about 62040.9168210787. The cubic root of 3849075360 is about 1567.1797259317.

The spelling of 3849075360 in words is "three billion, eight hundred forty-nine million, seventy-five thousand, three hundred sixty".