3309853131396 has 288 divisors, whose sum is σ = 9910564634880. Its totient is φ = 911784038400.

The previous prime is 3309853131367. The next prime is 3309853131413. The reversal of 3309853131396 is 6931313589033.

3309853131396 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 8 + 531 + 3 + 13 + 96 = 666.

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, 324140731 + ... + 324150941.

It is an arithmetic number, because the mean of its divisors is an integer number (34411682760).

Almost surely, 2^{3309853131396} is an apocalyptic number.

3309853131396 is a gapful number since it is divisible by the number (36) 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 3309853131396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4955282317440).

3309853131396 is an abundant number, since it is smaller than the sum of its proper divisors (6600711503484).

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

3309853131396 is a wasteful number, since it uses less digits than its factorization.

3309853131396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10635 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 4723920, while the sum is 54.

The spelling of 3309853131396 in words is "three trillion, three hundred nine billion, eight hundred fifty-three million, one hundred thirty-one thousand, three hundred ninety-six".