3887015040 has 320 divisors, whose sum is σ = 14042480760. Its totient is φ = 1024524288.

The previous prime is 3887015039. The next prime is 3887015047. The reversal of 3887015040 is 405107883.

3887015040 is a `hidden beast` number, since 3 + 88 + 70 + 1 + 504 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2064066624 + 1822948416 = 45432^2 + 42696^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 3887014986 and 3887015004.

It is not an unprimeable number, because it can be changed into a prime (3887015047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5028094 + ... + 5028866.

Almost surely, 2^3887015040 is an apocalyptic number.

3887015040 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 3887015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7021240380).

3887015040 is an abundant number, since it is smaller than the sum of its proper divisors (10155465720).

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

3887015040 is an equidigital number, since it uses as much as digits as its factorization.

3887015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 3887015040 is about 62345.9304205174. The cubic root of 3887015040 is about 1572.3120410802.

The spelling of 3887015040 in words is "three billion, eight hundred eighty-seven million, fifteen thousand, forty".