3091668480 has 160 divisors (see below), whose sum is σ = 10982109600. Its totient is φ = 824426496.

The previous prime is 3091668457. The next prime is 3091668491. The reversal of 3091668480 is 848661903.

3091668480 is a `hidden beast` number, since 3 + 0 + 9 + 166 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46756 + ... + 91484.

It is an arithmetic number, because the mean of its divisors is an integer number (68638185).

Almost surely, 2^3091668480 is an apocalyptic number.

3091668480 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 3091668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491054800).

3091668480 is an abundant number, since it is smaller than the sum of its proper divisors (7890441120).

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

3091668480 is an equidigital number, since it uses as much as digits as its factorization.

3091668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44761 (or 44739 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3091668480 is about 55602.7740315175. The cubic root of 3091668480 is about 1456.7923071715.

The spelling of 3091668480 in words is "three billion, ninety-one million, six hundred sixty-eight thousand, four hundred eighty".