3228540480 has 336 divisors, whose sum is σ = 12195316224. Its totient is φ = 777461760.

The previous prime is 3228540463. The next prime is 3228540529. The reversal of 3228540480 is 840458223.

3228540480 is a `hidden beast` number, since 32 + 2 + 8 + 540 + 4 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7064412 + ... + 7064868.

It is an arithmetic number, because the mean of its divisors is an integer number (36295584).

Almost surely, 2^3228540480 is an apocalyptic number.

3228540480 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 3228540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097658112).

3228540480 is an abundant number, since it is smaller than the sum of its proper divisors (8966775744).

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

3228540480 is a wasteful number, since it uses less digits than its factorization.

3228540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3228540480 is about 56820.2470955556. The cubic root of 3228540480 is about 1477.9806401784.

The spelling of 3228540480 in words is "three billion, two hundred twenty-eight million, five hundred forty thousand, four hundred eighty".