3971217024 has 128 divisors (see below), whose sum is σ = 11853216000. Its totient is φ = 1308764160.

The previous prime is 3971217001. The next prime is 3971217031. The reversal of 3971217024 is 4207121793.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3971217024.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 301129 + ... + 314039.

It is an arithmetic number, because the mean of its divisors is an integer number (92603250).

Almost surely, 2^3971217024 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 3971217024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5926608000).

3971217024 is an abundant number, since it is smaller than the sum of its proper divisors (7881998976).

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

3971217024 is a wasteful number, since it uses less digits than its factorization.

3971217024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13023 (or 13005 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 3971217024 is about 63017.5929721217. The cubic root of 3971217024 is about 1583.5843721278.

The spelling of 3971217024 in words is "three billion, nine hundred seventy-one million, two hundred seventeen thousand, twenty-four".