3987342720 has 256 divisors, whose sum is σ = 14364864000. Its totient is φ = 1045002240.

The previous prime is 3987342691. The next prime is 3987342727. The reversal of 3987342720 is 272437893.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3987342727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017565 + ... + 1021475.

It is an arithmetic number, because the mean of its divisors is an integer number (56112750).

Almost surely, 2^3987342720 is an apocalyptic number.

3987342720 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 3987342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7182432000).

3987342720 is an abundant number, since it is smaller than the sum of its proper divisors (10377521280).

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

3987342720 is a wasteful number, since it uses less digits than its factorization.

3987342720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3998 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3987342720 is about 63145.4093343293. The cubic root of 3987342720 is about 1585.7249345001.

The spelling of 3987342720 in words is "three billion, nine hundred eighty-seven million, three hundred forty-two thousand, seven hundred twenty".