3870624 has 48 divisors (see below), whose sum is σ = 10608192. Its totient is φ = 1233408.

The previous prime is 3870619. The next prime is 3870631. The reversal of 3870624 is 4260783.

3870624 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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 3870591 and 3870600.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1332 + ... + 3084.

It is an arithmetic number, because the mean of its divisors is an integer number (221004).

Almost surely, 2^3870624 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 3870624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5304096).

3870624 is an abundant number, since it is smaller than the sum of its proper divisors (6737568).

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

3870624 is a wasteful number, since it uses less digits than its factorization.

3870624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1789 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3870624 is about 1967.3901494111. The cubic root of 3870624 is about 157.0098848361.

The spelling of 3870624 in words is "three million, eight hundred seventy thousand, six hundred twenty-four".