3999742240032 has 1728 divisors, whose sum is σ = 15886262246400. Its totient is φ = 929901772800.

The previous prime is 3999742240027. The next prime is 3999742240073. The reversal of 3999742240032 is 2300422479993.

3999742240032 is a `hidden beast` number, since 3 + 99 + 97 + 422 + 40 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×3999742240032² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9500575182 + ... + 9500575602.

It is an arithmetic number, because the mean of its divisors is an integer number (9193438800).

Almost surely, 2^{3999742240032} is an apocalyptic number.

3999742240032 is a gapful number since it is divisible by the number (32) 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 3999742240032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943131123200).

3999742240032 is an abundant number, since it is smaller than the sum of its proper divisors (11886520006368).

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

3999742240032 is a wasteful number, since it uses less digits than its factorization.

3999742240032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 3999742240032 in words is "three trillion, nine hundred ninety-nine billion, seven hundred forty-two million, two hundred forty thousand, thirty-two".