3478935706880 has 144 divisors (see below), whose sum is σ = 8605343867904. Its totient is φ = 1346153349120.

The previous prime is 3478935706819. The next prime is 3478935706903. The reversal of 3478935706880 is 886075398743.

It is a self number, because there is not a number n which added to its sum of digits gives 3478935706880.

It is a congruent number.

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, 109223117 + ... + 109254963.

It is an arithmetic number, because the mean of its divisors is an integer number (59759332416).

Almost surely, 2^{3478935706880} 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 3478935706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4302671933952).

3478935706880 is an abundant number, since it is smaller than the sum of its proper divisors (5126408161024).

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

3478935706880 is a wasteful number, since it uses less digits than its factorization.

3478935706880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34652 (or 34638 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 68.

The spelling of 3478935706880 in words is "three trillion, four hundred seventy-eight billion, nine hundred thirty-five million, seven hundred six thousand, eight hundred eighty".