3306090480 has 640 divisors, whose sum is σ = 13713408000. Its totient is φ = 638668800.

The previous prime is 3306090461. The next prime is 3306090481. The reversal of 3306090480 is 840906033.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3306090481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16613421 + ... + 16613619.

It is an arithmetic number, because the mean of its divisors is an integer number (21427200).

Almost surely, 2^3306090480 is an apocalyptic number.

3306090480 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 3306090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856704000).

3306090480 is an abundant number, since it is smaller than the sum of its proper divisors (10407317520).

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

3306090480 is a wasteful number, since it uses less digits than its factorization.

3306090480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 3306090480 is about 57498.6128528332. The cubic root of 3306090480 is about 1489.7209032373.

The spelling of 3306090480 in words is "three billion, three hundred six million, ninety thousand, four hundred eighty".