3987720 has 192 divisors, whose sum is σ = 15163200. Its totient is φ = 898560.

The previous prime is 3987677. The next prime is 3987727. The reversal of 3987720 is 277893.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75214 + ... + 75266.

It is an arithmetic number, because the mean of its divisors is an integer number (78975).

Almost surely, 2^3987720 is an apocalyptic number.

3987720 is a gapful number since it is divisible by the number (30) 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 3987720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7581600).

3987720 is an abundant number, since it is smaller than the sum of its proper divisors (11175480).

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

3987720 is a wasteful number, since it uses less digits than its factorization.

3987720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3987720 is about 1996.9276401512. The cubic root of 3987720 is about 158.5774946373.

It can be divided in two parts, 398 and 7720, that added together give a palindrome (8118).

The spelling of 3987720 in words is "three million, nine hundred eighty-seven thousand, seven hundred twenty".