3982492174500 has 864 divisors, whose sum is σ = 15151428504576. Its totient is φ = 877105152000.

The previous prime is 3982492174459. The next prime is 3982492174513. The reversal of 3982492174500 is 54712942893.

3982492174500 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 49 + 21 + 74 + 500 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1756722367 + ... + 1756724633.

It is an arithmetic number, because the mean of its divisors is an integer number (17536375584).

Almost surely, 2^{3982492174500} is an apocalyptic number.

3982492174500 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 3982492174500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7575714252288).

3982492174500 is an abundant number, since it is smaller than the sum of its proper divisors (11168936330076).

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

3982492174500 is a wasteful number, since it uses less digits than its factorization.

3982492174500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3982492174500 in words is "three trillion, nine hundred eighty-two billion, four hundred ninety-two million, one hundred seventy-four thousand, five hundred".