3309989760 has 768 divisors, whose sum is σ = 15122764800. Its totient is φ = 645857280.

The previous prime is 3309989729. The next prime is 3309989779. The reversal of 3309989760 is 679899033.

It is a super-2 number, since 2×3309989760² = 21912064422609715200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3309989697 and 3309989706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7539621 + ... + 7540059.

It is an arithmetic number, because the mean of its divisors is an integer number (19691100).

Almost surely, 2^3309989760 is an apocalyptic number.

3309989760 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 3309989760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561382400).

3309989760 is an abundant number, since it is smaller than the sum of its proper divisors (11812775040).

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

3309989760 is a wasteful number, since it uses less digits than its factorization.

3309989760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 3309989760 is about 57532.5104614773. The cubic root of 3309989760 is about 1490.3063436298.

The spelling of 3309989760 in words is "three billion, three hundred nine million, nine hundred eighty-nine thousand, seven hundred sixty".