3987180540 has 72 divisors (see below), whose sum is σ = 13822230240. Its totient is φ = 911355264.

The previous prime is 3987180521. The next prime is 3987180541. The reversal of 3987180540 is 450817893.

3987180540 is a `hidden beast` number, since 3 + 98 + 7 + 18 + 0 + 540 = 666.

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 (3987180541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1580955 + ... + 1583474.

It is an arithmetic number, because the mean of its divisors is an integer number (191975420).

Almost surely, 2^3987180540 is an apocalyptic number.

3987180540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3987180540 is an abundant number, since it is smaller than the sum of its proper divisors (9835049700).

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

3987180540 is a wasteful number, since it uses less digits than its factorization.

3987180540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3164451 (or 3164446 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 3987180540 is about 63144.1251424073. The cubic root of 3987180540 is about 1585.7034351061.

The spelling of 3987180540 in words is "three billion, nine hundred eighty-seven million, one hundred eighty thousand, five hundred forty".