3999488016384 has 945 divisors, whose sum is σ = 14362802093871. Its totient is φ = 1105849221120.

The previous prime is 3999488016367. The next prime is 3999488016389. The reversal of 3999488016384 is 4836108849993.

The square root of 3999488016384 is 1999872.

It is a perfect power (a square), and thus also a powerful number.

3999488016384 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 488 + 0 + 1 + 63 + 84 = 666.

It is a super-3 number, since 3×3999488016384³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3999488016389) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 129015742449 + ... + 129015742479.

Almost surely, 2^{3999488016384} is an apocalyptic number.

3999488016384 is the 1999872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3999488016384

3999488016384 is an abundant number, since it is smaller than the sum of its proper divisors (10363314077487).

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

3999488016384 is an frugal number, since it uses more digits than its factorization.

3999488016384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 3999488016384 in words is "three trillion, nine hundred ninety-nine billion, four hundred eighty-eight million, sixteen thousand, three hundred eighty-four".