3987110400 has 720 divisors, whose sum is σ = 16601374944. Its totient is φ = 836075520.

The previous prime is 3987110389. The next prime is 3987110459. The reversal of 3987110400 is 40117893.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24460719 + ... + 24460881.

Almost surely, 2^3987110400 is an apocalyptic number.

3987110400 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 3987110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8300687472).

3987110400 is an abundant number, since it is smaller than the sum of its proper divisors (12614264544).

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

3987110400 is a wasteful number, since it uses less digits than its factorization.

3987110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 3987110400 is about 63143.5697438781. The cubic root of 3987110400 is about 1585.6941368154.

The spelling of 3987110400 in words is "three billion, nine hundred eighty-seven million, one hundred ten thousand, four hundred".