3132118080 has 1344 divisors, whose sum is σ = 15177576960. Its totient is φ = 573308928.

The previous prime is 3132118013. The next prime is 3132118091. The reversal of 3132118080 is 808112313.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 84651822 + ... + 84651858.

It is an arithmetic number, because the mean of its divisors is an integer number (11292840).

Almost surely, 2^3132118080 is an apocalyptic number.

3132118080 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 3132118080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588788480).

3132118080 is an abundant number, since it is smaller than the sum of its proper divisors (12045458880).

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

3132118080 is a wasteful number, since it uses less digits than its factorization.

3132118080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3132118080 is about 55965.3292673241. The cubic root of 3132118080 is about 1463.1180749376.

The spelling of 3132118080 in words is "three billion, one hundred thirty-two million, one hundred eighteen thousand, eighty".