3989289470976 has 880 divisors, whose sum is σ = 12890812451616. Its totient is φ = 1224418000896.

The previous prime is 3989289470951. The next prime is 3989289470983. The reversal of 3989289470976 is 6790749829893.

3989289470976 is a `hidden beast` number, since 39 + 8 + 9 + 28 + 9 + 470 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 3989289470895 and 3989289470904.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20669893536 + ... + 20669893728.

Almost surely, 2^{3989289470976} is an apocalyptic number.

3989289470976 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 3989289470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6445406225808).

3989289470976 is an abundant number, since it is smaller than the sum of its proper divisors (8901522980640).

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

3989289470976 is a wasteful number, since it uses less digits than its factorization.

3989289470976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 2962842624, while the sum is 81.

The spelling of 3989289470976 in words is "three trillion, nine hundred eighty-nine billion, two hundred eighty-nine million, four hundred seventy thousand, nine hundred seventy-six".