3801055752 has 192 divisors, whose sum is σ = 11537089200. Its totient is φ = 1122508800.

The previous prime is 3801055733. The next prime is 3801055829. The reversal of 3801055752 is 2575501083.

3801055752 is a `hidden beast` number, since 3 + 80 + 1 + 0 + 5 + 575 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1321613316 + 2479442436 = 36354^2 + 49794^2 .

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

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, 6324252 + ... + 6324852.

Almost surely, 2^3801055752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3801055752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768544600).

3801055752 is an abundant number, since it is smaller than the sum of its proper divisors (7736033448).

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

3801055752 is a wasteful number, since it uses less digits than its factorization.

3801055752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 3801055752 is about 61652.7027144796. The cubic root of 3801055752 is about 1560.6352541009.

The spelling of 3801055752 in words is "three billion, eight hundred one million, fifty-five thousand, seven hundred fifty-two".