3973280256 has 640 divisors, whose sum is σ = 14318726400. Its totient is φ = 1073479680.

The previous prime is 3973280251. The next prime is 3973280279. The reversal of 3973280256 is 6520823793.

3973280256 is a `hidden beast` number, since 397 + 3 + 2 + 8 + 0 + 256 = 666.

It is not an unprimeable number, because it can be changed into a prime (3973280251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74967526 + ... + 74967578.

It is an arithmetic number, because the mean of its divisors is an integer number (22373010).

Almost surely, 2^3973280256 is an apocalyptic number.

3973280256 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 3973280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159363200).

3973280256 is an abundant number, since it is smaller than the sum of its proper divisors (10345446144).

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

3973280256 is a wasteful number, since it uses less digits than its factorization.

3973280256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3973280256 is about 63033.9611320755. The cubic root of 3973280256 is about 1583.8585732317.

The spelling of 3973280256 in words is "three billion, nine hundred seventy-three million, two hundred eighty thousand, two hundred fifty-six".