3300010480 has 80 divisors (see below), whose sum is σ = 8283532320. Its totient is φ = 1215396864.

The previous prime is 3300010463. The next prime is 3300010487. The reversal of 3300010480 is 840100033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×3300010480³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3300010487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431974 + ... + 439546.

It is an arithmetic number, because the mean of its divisors is an integer number (103544154).

Almost surely, 2^3300010480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3300010480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4141766160).

3300010480 is an abundant number, since it is smaller than the sum of its proper divisors (4983521840).

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

3300010480 is a wasteful number, since it uses less digits than its factorization.

3300010480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8018 (or 8012 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 3300010480 is about 57445.7176819996. The cubic root of 3300010480 is about 1488.8071289807.

The spelling of 3300010480 in words is "three billion, three hundred million, ten thousand, four hundred eighty".