3872064 has 112 divisors (see below), whose sum is σ = 12159488. Its totient is φ = 1064448.

The previous prime is 3872059. The next prime is 3872101. The reversal of 3872064 is 4602783.

It is a tau number, because it is divible by the number of its divisors (112).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57759 + ... + 57825.

Almost surely, 2^3872064 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 3872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079744).

3872064 is an abundant number, since it is smaller than the sum of its proper divisors (8287424).

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

3872064 is a wasteful number, since it uses less digits than its factorization.

3872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 122 counting only the distinct ones).

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

The square root of 3872064 is about 1967.7560824452. The cubic root of 3872064 is about 157.0293533768.

The spelling of 3872064 in words is "three million, eight hundred seventy-two thousand, sixty-four".