3887687440 has 120 divisors (see below), whose sum is σ = 11323572120. Its totient is φ = 1230372864.

The previous prime is 3887687437. The next prime is 3887687501. The reversal of 3887687440 is 447867883.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 65480464 + 3822206976 = 8092^2 + 61824^2 .

It is a super-2 number, since 2×3887687440² = 30228227262267507200, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 12816 + ... + 89104.

It is an arithmetic number, because the mean of its divisors is an integer number (94363101).

Almost surely, 2^3887687440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5661786060).

3887687440 is an abundant number, since it is smaller than the sum of its proper divisors (7435884680).

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

3887687440 is a wasteful number, since it uses less digits than its factorization.

3887687440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76329 (or 76316 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 55.

The square root of 3887687440 is about 62351.3226804372. The cubic root of 3887687440 is about 1572.4026986199.

The spelling of 3887687440 in words is "three billion, eight hundred eighty-seven million, six hundred eighty-seven thousand, four hundred forty".