3365630480 has 80 divisors (see below), whose sum is σ = 8185726080. Its totient is φ = 1284501504.

The previous prime is 3365630449. The next prime is 3365630557. The reversal of 3365630480 is 840365633.

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

It is a super-2 number, since 2×3365630480² = 22654937055810060800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813056 + ... + 817184.

It is an arithmetic number, because the mean of its divisors is an integer number (102321576).

Almost surely, 2^3365630480 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 3365630480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092863040).

3365630480 is an abundant number, since it is smaller than the sum of its proper divisors (4820095600).

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

3365630480 is a wasteful number, since it uses less digits than its factorization.

3365630480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4608 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 3365630480 is about 58014.0541593156. The cubic root of 3365630480 is about 1498.6106364729.

The spelling of 3365630480 in words is "three billion, three hundred sixty-five million, six hundred thirty thousand, four hundred eighty".