3997646002890 has 64 divisors (see below), whose sum is σ = 10674815299200. Its totient is φ = 1064596338432.

The previous prime is 3997646002877. The next prime is 3997646002921. The reversal of 3997646002890 is 982006467993.

3997646002890 is a `hidden beast` number, since 3 + 9 + 97 + 6 + 460 + 0 + 2 + 89 + 0 = 666.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 9818127 + ... + 10217186.

It is an arithmetic number, because the mean of its divisors is an integer number (166793989050).

Almost surely, 2^{3997646002890} is an apocalyptic number.

3997646002890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3997646002890 is an abundant number, since it is smaller than the sum of its proper divisors (6677169296310).

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

3997646002890 is a wasteful number, since it uses less digits than its factorization.

3997646002890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20036068 (or 20036062 counting only the distinct ones).

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

The spelling of 3997646002890 in words is "three trillion, nine hundred ninety-seven billion, six hundred forty-six million, two thousand, eight hundred ninety".