3273000480 has 384 divisors, whose sum is σ = 12436623360. Its totient is φ = 800686080.

The previous prime is 3273000473. The next prime is 3273000499. The reversal of 3273000480 is 840003723.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3010497 + ... + 3011583.

It is an arithmetic number, because the mean of its divisors is an integer number (32387040).

Almost surely, 2^3273000480 is an apocalyptic number.

3273000480 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 3273000480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

3273000480 is an abundant number, since it is smaller than the sum of its proper divisors (9163622880).

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

3273000480 is a wasteful number, since it uses less digits than its factorization.

3273000480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3273000480 is about 57210.1431566117. The cubic root of 3273000480 is about 1484.7341223822.

The spelling of 3273000480 in words is "three billion, two hundred seventy-three million, four hundred eighty", and thus it is an aban number.