3987416160 has 1152 divisors, whose sum is σ = 18492364800. Its totient is φ = 804722688.

The previous prime is 3987416149. The next prime is 3987416203. The reversal of 3987416160 is 616147893.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173365909 + ... + 173365931.

It is an arithmetic number, because the mean of its divisors is an integer number (16052400).

Almost surely, 2^3987416160 is an apocalyptic number.

3987416160 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 3987416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246182400).

3987416160 is an abundant number, since it is smaller than the sum of its proper divisors (14504948640).

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

3987416160 is a wasteful number, since it uses less digits than its factorization.

3987416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3987416160 is about 63145.9908466088. The cubic root of 3987416160 is about 1585.7346698830.

The spelling of 3987416160 in words is "three billion, nine hundred eighty-seven million, four hundred sixteen thousand, one hundred sixty".