3947678208 has 100 divisors (see below), whose sum is σ = 11782903770. Its totient is φ = 1315878912.

The previous prime is 3947678201. The next prime is 3947678227. The reversal of 3947678208 is 8028767493.

It can be written as a sum of positive squares in only one way, i.e., 3710271744 + 237406464 = 60912^2 + 15408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3947678201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6123 + ... + 89066.

Almost surely, 2^3947678208 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 3947678208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891451885).

3947678208 is an abundant number, since it is smaller than the sum of its proper divisors (7835225562).

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

3947678208 is an frugal number, since it uses more digits than its factorization.

3947678208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95219 (or 95194 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3947678208 is about 62830.5515493856. The cubic root of 3947678208 is about 1580.4493471722.

The spelling of 3947678208 in words is "three billion, nine hundred forty-seven million, six hundred seventy-eight thousand, two hundred eight".