3132720 has 120 divisors (see below), whose sum is σ = 11122800. Its totient is φ = 787968.

The previous prime is 3132707. The next prime is 3132737. The reversal of 3132720 is 272313.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3132693 and 3132702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13566 + ... + 13794.

It is an arithmetic number, because the mean of its divisors is an integer number (92690).

Almost surely, 2^3132720 is an apocalyptic number.

3132720 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 3132720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5561400).

3132720 is an abundant number, since it is smaller than the sum of its proper divisors (7990080).

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

3132720 is a wasteful number, since it uses less digits than its factorization.

3132720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 3132720 is about 1769.9491518120. The cubic root of 3132720 is about 146.3211794651.

The spelling of 3132720 in words is "three million, one hundred thirty-two thousand, seven hundred twenty".