3145072640 has 72 divisors (see below), whose sum is σ = 7549718400. Its totient is φ = 1257766912.

The previous prime is 3145072597. The next prime is 3145072643. The reversal of 3145072640 is 462705413.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3145072597 and 3145072606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145072643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 652961 + ... + 657759.

It is an arithmetic number, because the mean of its divisors is an integer number (104857200).

Almost surely, 2^3145072640 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 3145072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774859200).

3145072640 is an abundant number, since it is smaller than the sum of its proper divisors (4404645760).

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

3145072640 is an frugal number, since it uses more digits than its factorization.

3145072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 3145072640 is about 56080.9472102603. The cubic root of 3145072640 is about 1465.1324710242.

The spelling of 3145072640 in words is "three billion, one hundred forty-five million, seventy-two thousand, six hundred forty".