3082380480 has 280 divisors, whose sum is σ = 11075304240. Its totient is φ = 813680640.

The previous prime is 3082380473. The next prime is 3082380487. The reversal of 3082380480 is 840832803.

It is a happy number.

3082380480 is digitally balanced in base 2 and base 4, because in such bases 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 (3082380473) and next prime (3082380487).

It is a super-3 number, since 3×3082380480³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3082380487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2824735 + ... + 2825825.

It is an arithmetic number, because the mean of its divisors is an integer number (39554658).

Almost surely, 2^3082380480 is an apocalyptic number.

3082380480 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 3082380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537652120).

3082380480 is an abundant number, since it is smaller than the sum of its proper divisors (7992923760).

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

3082380480 is a wasteful number, since it uses less digits than its factorization.

3082380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3082380480 is about 55519.1901958233. The cubic root of 3082380480 is about 1455.3320105345.

The spelling of 3082380480 in words is "three billion, eighty-two million, three hundred eighty thousand, four hundred eighty".