3291968160 has 144 divisors (see below), whose sum is σ = 12098051784. Its totient is φ = 810326016.

The previous prime is 3291968149. The next prime is 3291968167. The reversal of 3291968160 is 618691923.

It is a happy number.

3291968160 is a `hidden beast` number, since 329 + 196 + 81 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1953286416 + 1338681744 = 44196^2 + 36588^2 .

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 (45).

It is not an unprimeable number, because it can be changed into a prime (3291968167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69207 + ... + 106646.

Almost surely, 2^3291968160 is an apocalyptic number.

3291968160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3291968160 is an abundant number, since it is smaller than the sum of its proper divisors (8806083624).

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

3291968160 is a wasteful number, since it uses less digits than its factorization.

3291968160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175887 (or 175876 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 3291968160 is about 57375.6756822959. The cubic root of 3291968160 is about 1487.5967082571.

The spelling of 3291968160 in words is "three billion, two hundred ninety-one million, nine hundred sixty-eight thousand, one hundred sixty".