3803960160 has 1296 divisors, whose sum is σ = 18452856240. Its totient is φ = 704471040.

The previous prime is 3803960101. The next prime is 3803960161. The reversal of 3803960160 is 610693083.

It is a happy number.

It is a super-2 number, since 2×3803960160² = 28940225797734451200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803960161) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 131171026 + ... + 131171054.

It is an arithmetic number, because the mean of its divisors is an integer number (14238315).

Almost surely, 2^3803960160 is an apocalyptic number.

3803960160 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 3803960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226428120).

3803960160 is an abundant number, since it is smaller than the sum of its proper divisors (14648896080).

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

3803960160 is a wasteful number, since it uses less digits than its factorization.

3803960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3803960160 is about 61676.2528044628. The cubic root of 3803960160 is about 1561.0326496150.

The spelling of 3803960160 in words is "three billion, eight hundred three million, nine hundred sixty thousand, one hundred sixty".