3168480 has 192 divisors, whose sum is σ = 12192768. Its totient is φ = 675840.

The previous prime is 3168467. The next prime is 3168493. The reversal of 3168480 is 848613.

It is a happy number.

3168480 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3168467) and next prime (3168493).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77260 + ... + 77300.

It is an arithmetic number, because the mean of its divisors is an integer number (63504).

Almost surely, 2^3168480 is an apocalyptic number.

3168480 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 3168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6096384).

3168480 is an abundant number, since it is smaller than the sum of its proper divisors (9024288).

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

3168480 is a wasteful number, since it uses less digits than its factorization.

3168480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3168480 is about 1780.0224717683. The cubic root of 3168480 is about 146.8758264628.

The spelling of 3168480 in words is "three million, one hundred sixty-eight thousand, four hundred eighty".