3870432 has 72 divisors (see below), whose sum is σ = 11203920. Its totient is φ = 1267200.

The previous prime is 3870413. The next prime is 3870437. The reversal of 3870432 is 2340783.

3870432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 3870396 and 3870405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870437) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 25557 + ... + 25707.

It is an arithmetic number, because the mean of its divisors is an integer number (155610).

Almost surely, 2^3870432 is an apocalyptic number.

3870432 is a gapful number since it is divisible by the number (32) 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 3870432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601960).

3870432 is an abundant number, since it is smaller than the sum of its proper divisors (7333488).

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

3870432 is a wasteful number, since it uses less digits than its factorization.

3870432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3870432 is about 1967.3413531973. The cubic root of 3870432 is about 157.0072886659.

The spelling of 3870432 in words is "three million, eight hundred seventy thousand, four hundred thirty-two".