4208395968 has 420 divisors, whose sum is σ = 14983221240. Its totient is φ = 1125347328.

The previous prime is 4208395967. The next prime is 4208395969. The reversal of 4208395968 is 8695938024.

4208395968 is a `hidden beast` number, since 42 + 0 + 8 + 3 + 9 + 596 + 8 = 666.

4208395968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4208395967) and next prime (4208395969).

It is not an unprimeable number, because it can be changed into a prime (4208395967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23510503 + ... + 23510681.

Almost surely, 2^4208395968 is an apocalyptic number.

4208395968 is a gapful number since it is divisible by the number (48) 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 4208395968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491610620).

4208395968 is an abundant number, since it is smaller than the sum of its proper divisors (10774825272).

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

4208395968 is a wasteful number, since it uses less digits than its factorization.

4208395968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 4208395968 is about 64872.1509432206. The cubic root of 4208395968 is about 1614.5030332281.

The spelling of 4208395968 in words is "four billion, two hundred eight million, three hundred ninety-five thousand, nine hundred sixty-eight".