3147768 has 128 divisors (see below), whose sum is σ = 10080000. Its totient is φ = 902016.

The previous prime is 3147763. The next prime is 3147773. The reversal of 3147768 is 8677413.

It is an interprime number because it is at equal distance from previous prime (3147763) and next prime (3147773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3⁶ + 1 + 4¹⁰ + 7 + 7 + 6⁴ + 8⁷ .

Its product of digits (28224) is a multiple of the sum of its prime divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147763) 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, 53323 + ... + 53381.

It is an arithmetic number, because the mean of its divisors is an integer number (78750).

Almost surely, 2^3147768 is an apocalyptic number.

3147768 is a gapful number since it is divisible by the number (38) 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 3147768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040000).

3147768 is an abundant number, since it is smaller than the sum of its proper divisors (6932232).

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

3147768 is a wasteful number, since it uses less digits than its factorization.

3147768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 96 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 3147768 is about 1774.1950287384. The cubic root of 3147768 is about 146.5550896110. Note that the first 3 decimals are identical.

The spelling of 3147768 in words is "three million, one hundred forty-seven thousand, seven hundred sixty-eight".