3982970005644 has 144 divisors (see below), whose sum is σ = 10850184551808. Its totient is φ = 1133861444352.

The previous prime is 3982970005633. The next prime is 3982970005657. The reversal of 3982970005644 is 4465000792893.

3982970005644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 726418927 + ... + 726424409.

It is an arithmetic number, because the mean of its divisors is an integer number (75348503832).

Almost surely, 2^{3982970005644} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3982970005644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425092275904).

3982970005644 is an abundant number, since it is smaller than the sum of its proper divisors (6867214546164).

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

3982970005644 is a wasteful number, since it uses less digits than its factorization.

3982970005644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9764 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 57.

The spelling of 3982970005644 in words is "three trillion, nine hundred eighty-two billion, nine hundred seventy million, five thousand, six hundred forty-four".