3161564640 has 144 divisors (see below), whose sum is σ = 11618818848. Its totient is φ = 778226688.

The previous prime is 3161564629. The next prime is 3161564657. The reversal of 3161564640 is 464651613.

It is a happy number.

3161564640 is a `hidden beast` number, since 3 + 1 + 6 + 1 + 5 + 6 + 4 + 640 = 666.

3161564640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 3161564595 and 3161564604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65724 + ... + 103163.

It is an arithmetic number, because the mean of its divisors is an integer number (80686242).

Almost surely, 2^3161564640 is an apocalyptic number.

3161564640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3161564640 is an abundant number, since it is smaller than the sum of its proper divisors (8457254208).

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

3161564640 is a wasteful number, since it uses less digits than its factorization.

3161564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168921 (or 168910 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3161564640 is about 56227.7924162064. The cubic root of 3161564640 is about 1467.6889411146.

The spelling of 3161564640 in words is "three billion, one hundred sixty-one million, five hundred sixty-four thousand, six hundred forty".