3827625984 has 468 divisors, whose sum is σ = 13935643176. Its totient is φ = 1003290624.

The previous prime is 3827625961. The next prime is 3827626021. The reversal of 3827625984 is 4895267283.

3827625984 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 625 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (468).

It is a self number, because there is not a number n which added to its sum of digits gives 3827625984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23482287 + ... + 23482449.

Almost surely, 2^3827625984 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 3827625984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967821588).

3827625984 is an abundant number, since it is smaller than the sum of its proper divisors (10108017192).

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

3827625984 is a wasteful number, since it uses less digits than its factorization.

3827625984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 188 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3827625984 is about 61867.8105641375. The cubic root of 3827625984 is about 1564.2632105637.

The spelling of 3827625984 in words is "three billion, eight hundred twenty-seven million, six hundred twenty-five thousand, nine hundred eighty-four".