3935347914336 has 384 divisors, whose sum is σ = 11163113127936. Its totient is φ = 1210941388800.

The previous prime is 3935347914307. The next prime is 3935347914349. The reversal of 3935347914336 is 6334197435393.

It is a self number, because there is not a number n which added to its sum of digits gives 3935347914336.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3217781821 + ... + 3217783043.

It is an arithmetic number, because the mean of its divisors is an integer number (29070607104).

Almost surely, 2^{3935347914336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3935347914336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581556563968).

3935347914336 is an abundant number, since it is smaller than the sum of its proper divisors (7227765213600).

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

3935347914336 is a wasteful number, since it uses less digits than its factorization.

3935347914336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1706 counting only the distinct ones).

The product of its digits is 66134880, while the sum is 60.

The spelling of 3935347914336 in words is "three trillion, nine hundred thirty-five billion, three hundred forty-seven million, nine hundred fourteen thousand, three hundred thirty-six".