3827204640 has 240 divisors, whose sum is σ = 15436757952. Its totient is φ = 874768896.

The previous prime is 3827204639. The next prime is 3827204651. The reversal of 3827204640 is 464027283.

3827204640 is a `hidden beast` number, since 3 + 8 + 2 + 7 + 2 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3827204595 and 3827204604.

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 39 ways as a sum of consecutive naturals, for example, 69627 + ... + 111813.

Almost surely, 2^3827204640 is an apocalyptic number.

3827204640 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 3827204640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7718378976).

3827204640 is an abundant number, since it is smaller than the sum of its proper divisors (11609553312).

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

3827204640 is a wasteful number, since it uses less digits than its factorization.

3827204640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42221 (or 42204 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3827204640 is about 61864.4052747620. The cubic root of 3827204640 is about 1564.2058105716.

The spelling of 3827204640 in words is "three billion, eight hundred twenty-seven million, two hundred four thousand, six hundred forty".