3145646340 has 120 divisors (see below), whose sum is σ = 10448571672. Its totient is φ = 789488640.

The previous prime is 3145646293. The next prime is 3145646341. The reversal of 3145646340 is 436465413.

3145646340 is a `hidden beast` number, since 3 + 1 + 4 + 5 + 646 + 3 + 4 + 0 = 666.

3145646340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 2466314244 = 26064^2 + 49662^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3145646295 and 3145646304.

It is not an unprimeable number, because it can be changed into a prime (3145646341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29571 + ... + 84650.

Almost surely, 2^3145646340 is an apocalyptic number.

3145646340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3145646340 is an abundant number, since it is smaller than the sum of its proper divisors (7302925332).

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

3145646340 is a wasteful number, since it uses less digits than its factorization.

3145646340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114259 (or 114248 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3145646340 is about 56086.0619048975. The cubic root of 3145646340 is about 1465.2215516795.

The spelling of 3145646340 in words is "three billion, one hundred forty-five million, six hundred forty-six thousand, three hundred forty".