3926972448 has 192 divisors, whose sum is σ = 13257216000. Its totient is φ = 1107654912.

The previous prime is 3926972429. The next prime is 3926972453. The reversal of 3926972448 is 8442796293.

3926972448 is a `hidden beast` number, since 392 + 6 + 9 + 7 + 244 + 8 = 666.

It is a super-2 number, since 2×3926972448² = 30842225214702225408, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3926972394 and 3926972403.

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 31 ways as a sum of consecutive naturals, for example, 473683 + ... + 481901.

It is an arithmetic number, because the mean of its divisors is an integer number (69048000).

Almost surely, 2^3926972448 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 3926972448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6628608000).

3926972448 is an abundant number, since it is smaller than the sum of its proper divisors (9330243552).

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

3926972448 is a wasteful number, since it uses less digits than its factorization.

3926972448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8324 (or 8310 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 3926972448 is about 62665.5603022904. The cubic root of 3926972448 is about 1577.6813247098.

The spelling of 3926972448 in words is "three billion, nine hundred twenty-six million, nine hundred seventy-two thousand, four hundred forty-eight".