3827090880 has 168 divisors, whose sum is σ = 13485077424. Its totient is φ = 995635200.

The previous prime is 3827090867. The next prime is 3827090899. The reversal of 3827090880 is 880907283.

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

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, 101875 + ... + 134285.

It is an arithmetic number, because the mean of its divisors is an integer number (80268318).

Almost surely, 2^3827090880 is an apocalyptic number.

3827090880 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 3827090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742538712).

3827090880 is an abundant number, since it is smaller than the sum of its proper divisors (9657986544).

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

3827090880 is a wasteful number, since it uses less digits than its factorization.

3827090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32475 (or 32462 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 3827090880 is about 61863.4858377702. The cubic root of 3827090880 is about 1564.1903122438.

The spelling of 3827090880 in words is "three billion, eight hundred twenty-seven million, ninety thousand, eight hundred eighty".