3992731272000 has 448 divisors, whose sum is σ = 15044833390080. Its totient is φ = 1035949824000.

The previous prime is 3992731271993. The next prime is 3992731272007. The reversal of 3992731272000 is 2721372993.

It is a happy number.

3992731272000 is a `hidden beast` number, since 399 + 2 + 7 + 31 + 27 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3992731271993) and next prime (3992731272007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992731272007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7742205 + ... + 8241795.

Almost surely, 2^{3992731272000} is an apocalyptic number.

3992731272000 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 3992731272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7522416695040).

3992731272000 is an abundant number, since it is smaller than the sum of its proper divisors (11052102118080).

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

3992731272000 is a wasteful number, since it uses less digits than its factorization.

3992731272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499664 (or 499638 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 3992731272000 in words is "three trillion, nine hundred ninety-two billion, seven hundred thirty-one million, two hundred seventy-two thousand".