3827041680 has 320 divisors, whose sum is σ = 15155030016. Its totient is φ = 775680000.

The previous prime is 3827041633. The next prime is 3827041709. The reversal of 3827041680 is 861407283.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755155 + ... + 760205.

Almost surely, 2^3827041680 is an apocalyptic number.

3827041680 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 3827041680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7577515008).

3827041680 is an abundant number, since it is smaller than the sum of its proper divisors (11327988336).

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

3827041680 is a wasteful number, since it uses less digits than its factorization.

3827041680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 5120 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 3827041680 is about 61863.0881867370. The cubic root of 3827041680 is about 1564.1836092853.

The spelling of 3827041680 in words is "three billion, eight hundred twenty-seven million, forty-one thousand, six hundred eighty".