3972685824 has 140 divisors (see below), whose sum is σ = 11870269884. Its totient is φ = 1324007424.

The previous prime is 3972685811. The next prime is 3972685837. The reversal of 3972685824 is 4285862793.

3972685824 is a `hidden beast` number, since 39 + 7 + 26 + 8 + 582 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3972685811) and next prime (3972685837).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 660559 + ... + 666545.

Almost surely, 2^3972685824 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 3972685824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935134942).

3972685824 is an abundant number, since it is smaller than the sum of its proper divisors (7897584060).

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

3972685824 is an frugal number, since it uses more digits than its factorization.

3972685824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6025 (or 5992 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3972685824 is about 63029.2457832077. The cubic root of 3972685824 is about 1583.7795836552.

The spelling of 3972685824 in words is "three billion, nine hundred seventy-two million, six hundred eighty-five thousand, eight hundred twenty-four".