3171796992 has 576 divisors, whose sum is σ = 11829242880. Its totient is φ = 796262400.

The previous prime is 3171796973. The next prime is 3171796993. The reversal of 3171796992 is 2996971713.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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 (3171796993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51996642 + ... + 51996702.

It is an arithmetic number, because the mean of its divisors is an integer number (20536880).

Almost surely, 2^3171796992 is an apocalyptic number.

3171796992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3171796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914621440).

3171796992 is an abundant number, since it is smaller than the sum of its proper divisors (8657445888).

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

3171796992 is a wasteful number, since it uses less digits than its factorization.

3171796992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 117 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 3171796992 is about 56318.7090761143. The cubic root of 3171796992 is about 1469.2706196935.

The spelling of 3171796992 in words is "three billion, one hundred seventy-one million, seven hundred ninety-six thousand, nine hundred ninety-two".