3987467904 has 192 divisors, whose sum is σ = 12494053440. Its totient is φ = 1123282944.

The previous prime is 3987467899. The next prime is 3987467909. The reversal of 3987467904 is 4097647893.

It is an interprime number because it is at equal distance from previous prime (3987467899) and next prime (3987467909).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3987467909) 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, 1372117 + ... + 1375019.

It is an arithmetic number, because the mean of its divisors is an integer number (65073195).

Almost surely, 2^3987467904 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 3987467904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247026720).

3987467904 is an abundant number, since it is smaller than the sum of its proper divisors (8506585536).

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

3987467904 is a wasteful number, since it uses less digits than its factorization.

3987467904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3007 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The square root of 3987467904 is about 63146.4005625024. The cubic root of 3987467904 is about 1585.7415291202.

The spelling of 3987467904 in words is "three billion, nine hundred eighty-seven million, four hundred sixty-seven thousand, nine hundred four".