3132717120 has 392 divisors, whose sum is σ = 12056568216. Its totient is φ = 770383872.

The previous prime is 3132717097. The next prime is 3132717151. The reversal of 3132717120 is 217172313.

It can be written as a sum of positive squares in 4 ways, for example, as 534164544 + 2598552576 = 23112^2 + 50976^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3032124 + ... + 3033156.

Almost surely, 2^3132717120 is an apocalyptic number.

3132717120 is a gapful number since it is divisible by the number (30) 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 3132717120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6028284108).

3132717120 is an abundant number, since it is smaller than the sum of its proper divisors (8923851096).

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

3132717120 is a wasteful number, since it uses less digits than its factorization.

3132717120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 3132717120 is about 55970.6808963407. The cubic root of 3132717120 is about 1463.2113462595.

Adding to 3132717120 its reverse (217172313), we get a palindrome (3349889433).

The spelling of 3132717120 in words is "three billion, one hundred thirty-two million, seven hundred seventeen thousand, one hundred twenty".