3887552 has 56 divisors (see below), whose sum is σ = 8534400. Its totient is φ = 1748736.

The previous prime is 3887551. The next prime is 3887557. The reversal of 3887552 is 2557883.

It is a super-3 number, since 3×3887552³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887551) 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, 27899 + ... + 28037.

It is an arithmetic number, because the mean of its divisors is an integer number (152400).

Almost surely, 2^3887552 is an apocalyptic number.

3887552 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 3887552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4267200).

3887552 is an abundant number, since it is smaller than the sum of its proper divisors (4646848).

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

3887552 is a wasteful number, since it uses less digits than its factorization.

3887552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 183 counting only the distinct ones).

The product of its digits is 67200, while the sum is 38.

The square root of 3887552 is about 1971.6876020303. The cubic root of 3887552 is about 157.2384438519.

It can be divided in two parts, 38 and 87552, that multiplied together give a square (3326976 = 1824²).

The spelling of 3887552 in words is "three million, eight hundred eighty-seven thousand, five hundred fifty-two".