3987611760 has 160 divisors (see below), whose sum is σ = 13714479360. Its totient is φ = 950272000.

The previous prime is 3987611707. The next prime is 3987611773. The reversal of 3987611760 is 671167893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142960 + ... + 168560.

It is an arithmetic number, because the mean of its divisors is an integer number (85715496).

Almost surely, 2^3987611760 is an apocalyptic number.

3987611760 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 3987611760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6857239680).

3987611760 is an abundant number, since it is smaller than the sum of its proper divisors (9726867600).

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

3987611760 is a wasteful number, since it uses less digits than its factorization.

3987611760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25687 (or 25681 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 3987611760 is about 63147.5396195291. The cubic root of 3987611760 is about 1585.7605985059.

The spelling of 3987611760 in words is "three billion, nine hundred eighty-seven million, six hundred eleven thousand, seven hundred sixty".