3928006656 has 448 divisors, whose sum is σ = 13840358400. Its totient is φ = 1077608448.

The previous prime is 3928006651. The next prime is 3928006657. The reversal of 3928006656 is 6566008293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (3928006651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66576355 + ... + 66576413.

Almost surely, 2^3928006656 is an apocalyptic number.

3928006656 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 3928006656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6920179200).

3928006656 is an abundant number, since it is smaller than the sum of its proper divisors (9912351744).

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

3928006656 is an equidigital number, since it uses as much as digits as its factorization.

3928006656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3928006656 is about 62673.8115643209. The cubic root of 3928006656 is about 1577.8198120095.

The spelling of 3928006656 in words is "three billion, nine hundred twenty-eight million, six thousand, six hundred fifty-six".