3972354048 has 312 divisors, whose sum is σ = 12856331488. Its totient is φ = 1218281472.

The previous prime is 3972354047. The next prime is 3972354049. The reversal of 3972354048 is 8404532793.

3972354048 is a `hidden beast` number, since 3 + 9 + 7 + 235 + 404 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (3972354047) and next prime (3972354049).

It is a tau number, because it is divible by the number of its divisors (312).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3972353994 and 3972354012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3972354041) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12939111 + ... + 12939417.

Almost surely, 2^3972354048 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 3972354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428165744).

3972354048 is an abundant number, since it is smaller than the sum of its proper divisors (8883977440).

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

3972354048 is an equidigital number, since it uses as much as digits as its factorization.

3972354048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3972354048 is about 63026.6138071847. The cubic root of 3972354048 is about 1583.7354930234.

The spelling of 3972354048 in words is "three billion, nine hundred seventy-two million, three hundred fifty-four thousand, forty-eight".