3887442720 has 480 divisors, whose sum is σ = 15921214848. Its totient is φ = 874893312.

The previous prime is 3887442719. The next prime is 3887442733. The reversal of 3887442720 is 272447883.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3887442720² = 30224421802561996800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6622267 + ... + 6622853.

Almost surely, 2^3887442720 is an apocalyptic number.

3887442720 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 3887442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960607424).

3887442720 is an abundant number, since it is smaller than the sum of its proper divisors (12033772128).

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

3887442720 is a wasteful number, since it uses less digits than its factorization.

3887442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 3887442720 is about 62349.3602212565. The cubic root of 3887442720 is about 1572.3697050156.

The spelling of 3887442720 in words is "three billion, eight hundred eighty-seven million, four hundred forty-two thousand, seven hundred twenty".