3273004980 has 216 divisors, whose sum is σ = 12157498080. Its totient is φ = 708704640.

The previous prime is 3273004979. The next prime is 3273004981. The reversal of 3273004980 is 894003723.

It is an interprime number because it is at equal distance from previous prime (3273004979) and next prime (3273004981).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3273004981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157815 + ... + 177345.

Almost surely, 2^3273004980 is an apocalyptic number.

3273004980 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 3273004980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078749040).

3273004980 is an abundant number, since it is smaller than the sum of its proper divisors (8884493100).

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

3273004980 is a wasteful number, since it uses less digits than its factorization.

3273004980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19579 (or 19567 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3273004980 is about 57210.1824852884. The cubic root of 3273004980 is about 1484.7348028282.

The spelling of 3273004980 in words is "three billion, two hundred seventy-three million, four thousand, nine hundred eighty".