3181630716 has 288 divisors, whose sum is σ = 9859449600. Its totient is φ = 853493760.

The previous prime is 3181630633. The next prime is 3181630723. The reversal of 3181630716 is 6170361813.

3181630716 is a `hidden beast` number, since 3 + 1 + 8 + 1 + 630 + 7 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8394615 + ... + 8394993.

It is an arithmetic number, because the mean of its divisors is an integer number (34234200).

Almost surely, 2^3181630716 is an apocalyptic number.

3181630716 is a gapful number since it is divisible by the number (36) 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 3181630716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929724800).

3181630716 is an abundant number, since it is smaller than the sum of its proper divisors (6677818884).

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

3181630716 is a wasteful number, since it uses less digits than its factorization.

3181630716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3181630716 is about 56405.9457504260. The cubic root of 3181630716 is about 1470.7874775600.

The spelling of 3181630716 in words is "three billion, one hundred eighty-one million, six hundred thirty thousand, seven hundred sixteen".