3935466986048 has 112 divisors (see below), whose sum is σ = 8620071720960. Its totient is φ = 1771520937984.

The previous prime is 3935466986039. The next prime is 3935466986083. The reversal of 3935466986048 is 8406896645393.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5918540 + ... + 6549812.

It is an arithmetic number, because the mean of its divisors is an integer number (76964926080).

Almost surely, 2^{3935466986048} 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 3935466986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4310035860480).

3935466986048 is an abundant number, since it is smaller than the sum of its proper divisors (4684604734912).

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

3935466986048 is a wasteful number, since it uses less digits than its factorization.

3935466986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631484 (or 631474 counting only the distinct ones).

The product of its (nonzero) digits is 806215680, while the sum is 71.

The spelling of 3935466986048 in words is "three trillion, nine hundred thirty-five billion, four hundred sixty-six million, nine hundred eighty-six thousand, forty-eight".