3309608665440 has 1440 divisors, whose sum is σ = 15370725452544. Its totient is φ = 651444664320.

The previous prime is 3309608665403. The next prime is 3309608665453. The reversal of 3309608665440 is 445668069033.

3309608665440 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 60 + 86 + 65 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 360244527 + ... + 360253713.

Almost surely, 2^{3309608665440} is an apocalyptic number.

3309608665440 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 3309608665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7685362726272).

3309608665440 is an abundant number, since it is smaller than the sum of its proper divisors (12061116787104).

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

3309608665440 is a wasteful number, since it uses less digits than its factorization.

3309608665440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9270 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3309608665440 in words is "three trillion, three hundred nine billion, six hundred eight million, six hundred sixty-five thousand, four hundred forty".