3803261760 has 168 divisors, whose sum is σ = 13851322056. Its totient is φ = 954531840.

The previous prime is 3803261741. The next prime is 3803261771. The reversal of 3803261760 is 671623083.

It is a happy number.

3803261760 is a `hidden beast` number, since 3 + 8 + 0 + 32 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 413227584 + 3390034176 = 20328^2 + 58224^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10120 + ... + 87800.

Almost surely, 2^3803261760 is an apocalyptic number.

3803261760 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 3803261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6925661028).

3803261760 is an abundant number, since it is smaller than the sum of its proper divisors (10048060296).

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

3803261760 is a wasteful number, since it uses less digits than its factorization.

3803261760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77721 (or 77708 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3803261760 is about 61670.5907219965. The cubic root of 3803261760 is about 1560.9371095389.

The spelling of 3803261760 in words is "three billion, eight hundred three million, two hundred sixty-one thousand, seven hundred sixty".