3145863744 has 315 divisors, whose sum is σ = 10087866921. Its totient is φ = 969200640.

The previous prime is 3145863739. The next prime is 3145863817. The reversal of 3145863744 is 4473685413.

The square root of 3145863744 is 56088.

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

3145863744 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 8 + 637 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 151585344 + 2994278400 = 12312^2 + 54720^2 .

Its product of digits (967680) is a multiple of the sum of its prime factors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 3145863744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 76728364 + ... + 76728404.

Almost surely, 2^3145863744 is an apocalyptic number.

3145863744 is the 56088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145863744

3145863744 is an abundant number, since it is smaller than the sum of its proper divisors (6942003177).

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

3145863744 is an equidigital number, since it uses as much as digits as its factorization.

3145863744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 65 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The cubic root of 3145863744 is about 1465.2553060237.

The spelling of 3145863744 in words is "three billion, one hundred forty-five million, eight hundred sixty-three thousand, seven hundred forty-four".