3132664080 has 480 divisors, whose sum is σ = 12577195008. Its totient is φ = 638668800.

The previous prime is 3132663997. The next prime is 3132664109. The reversal of 3132664080 is 804662313.

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, 4738950 + ... + 4739610.

Almost surely, 2^3132664080 is an apocalyptic number.

3132664080 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 3132664080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6288597504).

3132664080 is an abundant number, since it is smaller than the sum of its proper divisors (9444530928).

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

3132664080 is a wasteful number, since it uses less digits than its factorization.

3132664080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3132664080 is about 55970.2070748358. The cubic root of 3132664080 is about 1463.2030883410.

The spelling of 3132664080 in words is "three billion, one hundred thirty-two million, six hundred sixty-four thousand, eighty".