4349977033338 has 128 divisors (see below), whose sum is σ = 9997064064000. Its totient is φ = 1401524467200.

The previous prime is 4349977033321. The next prime is 4349977033357. The reversal of 4349977033338 is 8333307799434.

4349977033338 is a `hidden beast` number, since 43 + 499 + 7 + 70 + 3 + 3 + 3 + 38 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38290356 + ... + 38403792.

It is an arithmetic number, because the mean of its divisors is an integer number (78102063000).

Almost surely, 2^{4349977033338} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4349977033338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998532032000).

4349977033338 is an abundant number, since it is smaller than the sum of its proper divisors (5647087030662).

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

4349977033338 is a wasteful number, since it uses less digits than its factorization.

4349977033338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113717 (or 113711 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 4349977033338 in words is "four trillion, three hundred forty-nine billion, nine hundred seventy-seven million, thirty-three thousand, three hundred thirty-eight".