3999742668000 has 288 divisors, whose sum is σ = 14942199111840. Its totient is φ = 1010461132800.

The previous prime is 3999742667983. The next prime is 3999742668001. The reversal of 3999742668000 is 8662479993.

3999742668000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999742668001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2239789 + ... + 3607788.

It is an arithmetic number, because the mean of its divisors is an integer number (51882635805).

Almost surely, 2^{3999742668000} is an apocalyptic number.

3999742668000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3999742668000 is an abundant number, since it is smaller than the sum of its proper divisors (10942456443840).

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

3999742668000 is a wasteful number, since it uses less digits than its factorization.

3999742668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5847627 (or 5847606 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 3999742668000 in words is "three trillion, nine hundred ninety-nine billion, seven hundred forty-two million, six hundred sixty-eight thousand".