3141378304 has 81 divisors (see below), whose sum is σ = 6537130509. Its totient is φ = 1506570240.

The previous prime is 3141378301. The next prime is 3141378307. The reversal of 3141378304 is 4038731413.

The square root of 3141378304 is 56048.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (3141378301) and next prime (3141378307).

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 3086024704 = 7440^2 + 55552^2 .

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3141378304.

It is not an unprimeable number, because it can be changed into a prime (3141378301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27799752 + ... + 27799864.

Almost surely, 2^3141378304 is an apocalyptic number.

3141378304 is the 56048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141378304

3141378304 is an abundant number, since it is smaller than the sum of its proper divisors (3395752205).

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

3141378304 is an frugal number, since it uses more digits than its factorization.

3141378304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The cubic root of 3141378304 is about 1464.5585773009.

The spelling of 3141378304 in words is "three billion, one hundred forty-one million, three hundred seventy-eight thousand, three hundred four".