3309214313340 has 288 divisors, whose sum is σ = 10860489896256. Its totient is φ = 810788106240.

The previous prime is 3309214313303. The next prime is 3309214313417. The reversal of 3309214313340 is 433134129033.

3309214313340 is a `hidden beast` number, since 3 + 309 + 2 + 1 + 4 + 3 + 1 + 3 + 340 = 666.

3309214313340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3309214313340² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3309214313295 and 3309214313304.

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, 460056784 + ... + 460063976.

It is an arithmetic number, because the mean of its divisors is an integer number (37710034362).

Almost surely, 2^{3309214313340} is an apocalyptic number.

3309214313340 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 3309214313340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5430244948128).

3309214313340 is an abundant number, since it is smaller than the sum of its proper divisors (7551275582916).

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

3309214313340 is a wasteful number, since it uses less digits than its factorization.

3309214313340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8109 (or 8104 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 3309214313340 in words is "three trillion, three hundred nine billion, two hundred fourteen million, three hundred thirteen thousand, three hundred forty".