3162964968 has 96 divisors (see below), whose sum is σ = 9227312640. Its totient is φ = 975934080.

The previous prime is 3162964963. The next prime is 3162964993. The reversal of 3162964968 is 8694692613.

3162964968 is a `hidden beast` number, since 3 + 1 + 62 + 96 + 496 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3162964963) 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, 20530 + ... + 82142.

It is an arithmetic number, because the mean of its divisors is an integer number (96117840).

Almost surely, 2^3162964968 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 3162964968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4613656320).

3162964968 is an abundant number, since it is smaller than the sum of its proper divisors (6064347672).

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

3162964968 is a wasteful number, since it uses less digits than its factorization.

3162964968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61679 (or 61672 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 3162964968 is about 56240.2433138407. The cubic root of 3162964968 is about 1467.9055999307.

It can be divided in two parts, 316 and 2964968, that added together give a square (2965284 = 1722²).

The spelling of 3162964968 in words is "three billion, one hundred sixty-two million, nine hundred sixty-four thousand, nine hundred sixty-eight".