3840541632 has 42 divisors (see below), whose sum is σ = 11008220808. Its totient is φ = 1280180352.

The previous prime is 3840541631. The next prime is 3840541637. The reversal of 3840541632 is 2361450483.

3840541632 is a `hidden beast` number, since 3 + 84 + 0 + 541 + 6 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840541631) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 3333228 + ... + 3334379.

Almost surely, 2^3840541632 is an apocalyptic number.

3840541632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3840541632 is an abundant number, since it is smaller than the sum of its proper divisors (7167679176).

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

3840541632 is a wasteful number, since it uses less digits than its factorization.

3840541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6667625 (or 6667612 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3840541632 is about 61972.1036596306. The cubic root of 3840541632 is about 1566.0206786170.

The spelling of 3840541632 in words is "three billion, eight hundred forty million, five hundred forty-one thousand, six hundred thirty-two".