3828563641 has 32 divisors (see below), whose sum is σ = 4656234240. Its totient is φ = 3079296000.

The previous prime is 3828563639. The next prime is 3828563689. The reversal of 3828563641 is 1463658283.

It is a 4-Lehmer number, since φ(3828563641) divides (3828563641-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 3828563641 - 2¹ = 3828563639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3828563591 and 3828563600.

It is not an unprimeable number, because it can be changed into a prime (3828563341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 943066 + ... + 947116.

It is an arithmetic number, because the mean of its divisors is an integer number (145507320).

Almost surely, 2^3828563641 is an apocalyptic number.

It is an amenable number.

3828563641 is a deficient number, since it is larger than the sum of its proper divisors (827670599).

3828563641 is a wasteful number, since it uses less digits than its factorization.

3828563641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225.

The product of its digits is 829440, while the sum is 46.

The square root of 3828563641 is about 61875.3880068642. The cubic root of 3828563641 is about 1564.3909331261.

It can be divided in two parts, 38285 and 63641, that added together give a triangular number (101926 = T₄₅₁).

The spelling of 3828563641 in words is "three billion, eight hundred twenty-eight million, five hundred sixty-three thousand, six hundred forty-one".