3182802480 has 480 divisors, whose sum is σ = 13226653440. Its totient is φ = 674334720.

The previous prime is 3182802463. The next prime is 3182802487. The reversal of 3182802480 is 842082813.

It is a happy number.

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 (3182802487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1955427 + ... + 1957053.

It is an arithmetic number, because the mean of its divisors is an integer number (27555528).

Almost surely, 2^3182802480 is an apocalyptic number.

3182802480 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 3182802480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6613326720).

3182802480 is an abundant number, since it is smaller than the sum of its proper divisors (10043850960).

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

3182802480 is a wasteful number, since it uses less digits than its factorization.

3182802480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3182802480 is about 56416.3316779813. The cubic root of 3182802480 is about 1470.9680143604.

The spelling of 3182802480 in words is "three billion, one hundred eighty-two million, eight hundred two thousand, four hundred eighty".