3992873976 has 192 divisors, whose sum is σ = 13582296000. Its totient is φ = 1052980992.

The previous prime is 3992873971. The next prime is 3992874007. The reversal of 3992873976 is 6793782993.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3992873971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314830 + ... + 327266.

It is an arithmetic number, because the mean of its divisors is an integer number (70741125).

Almost surely, 2^3992873976 is an apocalyptic number.

3992873976 is a gapful number since it is divisible by the number (36) 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 3992873976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6791148000).

3992873976 is an abundant number, since it is smaller than the sum of its proper divisors (9589422024).

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

3992873976 is a wasteful number, since it uses less digits than its factorization.

3992873976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483 (or 12462 counting only the distinct ones).

The product of its digits is 30862944, while the sum is 63.

The square root of 3992873976 is about 63189.1919239359. The cubic root of 3992873976 is about 1586.4578367989.

The spelling of 3992873976 in words is "three billion, nine hundred ninety-two million, eight hundred seventy-three thousand, nine hundred seventy-six".