3987244800 has 1296 divisors, whose sum is σ = 18978785280. Its totient is φ = 774144000.

The previous prime is 3987244799. The next prime is 3987244813. The reversal of 3987244800 is 84427893.

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

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 128620785 + ... + 128620815.

Almost surely, 2^3987244800 is an apocalyptic number.

3987244800 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 3987244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489392640).

3987244800 is an abundant number, since it is smaller than the sum of its proper divisors (14991540480).

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

3987244800 is a wasteful number, since it uses less digits than its factorization.

3987244800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3987244800 is about 63144.6339762929. The cubic root of 3987244800 is about 1585.7119538037.

The spelling of 3987244800 in words is "three billion, nine hundred eighty-seven million, two hundred forty-four thousand, eight hundred".