3940082988192 has 144 divisors (see below), whose sum is σ = 12455746587648. Its totient is φ = 1173225669120.

The previous prime is 3940082988187. The next prime is 3940082988203. The reversal of 3940082988192 is 2918892800493.

It is a happy number.

3940082988192 is a `hidden beast` number, since 39 + 400 + 8 + 2 + 9 + 8 + 8 + 192 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3940082988192² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16857688 + ... + 17089815.

It is an arithmetic number, because the mean of its divisors is an integer number (86498240192).

Almost surely, 2^{3940082988192} is an apocalyptic number.

3940082988192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3940082988192 is an abundant number, since it is smaller than the sum of its proper divisors (8515663599456).

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

3940082988192 is a wasteful number, since it uses less digits than its factorization.

3940082988192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33947563 (or 33947552 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 3940082988192 in words is "three trillion, nine hundred forty billion, eighty-two million, nine hundred eighty-eight thousand, one hundred ninety-two".