3309407684352 has 4032 divisors, whose sum is σ = 14824362147840. Its totient is φ = 709469798400.

The previous prime is 3309407684287. The next prime is 3309407684389. The reversal of 3309407684352 is 2534867049033.

It is a tau number, because it is divible by the number of its divisors (4032).

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 447 ways as a sum of consecutive naturals, for example, 106755086577 + ... + 106755086607.

It is an arithmetic number, because the mean of its divisors is an integer number (3676677120).

Almost surely, 2^{3309407684352} is an apocalyptic number.

3309407684352 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 3309407684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412181073920).

3309407684352 is an abundant number, since it is smaller than the sum of its proper divisors (11514954463488).

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

3309407684352 is a wasteful number, since it uses less digits than its factorization.

3309407684352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3309407684352 in words is "three trillion, three hundred nine billion, four hundred seven million, six hundred eighty-four thousand, three hundred fifty-two".