3309261312 has 320 divisors, whose sum is σ = 10779310080. Its totient is φ = 881197056.

The previous prime is 3309261287. The next prime is 3309261313. The reversal of 3309261312 is 2131629033.

It is a super-2 number, since 2×3309261312² = 21902420862199922688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3309261312.

It is not an unprimeable number, because it can be changed into a prime (3309261313) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 19815853 + ... + 19816019.

It is an arithmetic number, because the mean of its divisors is an integer number (33685344).

Almost surely, 2^3309261312 is an apocalyptic number.

3309261312 is a gapful number since it is divisible by the number (32) 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 3309261312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5389655040).

3309261312 is an abundant number, since it is smaller than the sum of its proper divisors (7470048768).

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

3309261312 is a wasteful number, since it uses less digits than its factorization.

3309261312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3309261312 is about 57526.1793620957. The cubic root of 3309261312 is about 1490.1970089186.

The spelling of 3309261312 in words is "three billion, three hundred nine million, two hundred sixty-one thousand, three hundred twelve".