3852672 has 64 divisors (see below), whose sum is σ = 10444800. Its totient is φ = 1257984.

The previous prime is 3852643. The next prime is 3852677. The reversal of 3852672 is 2762583.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30273 + ... + 30399.

It is an arithmetic number, because the mean of its divisors is an integer number (163200).

Almost surely, 2^3852672 is an apocalyptic number.

3852672 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 3852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5222400).

3852672 is an abundant number, since it is smaller than the sum of its proper divisors (6592128).

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

3852672 is a wasteful number, since it uses less digits than its factorization.

3852672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 3852672 is about 1962.8224575850. The cubic root of 3852672 is about 156.7667706900.

The spelling of 3852672 in words is "three million, eight hundred fifty-two thousand, six hundred seventy-two".