3479859415488 has 224 divisors, whose sum is σ = 10120023244800. Its totient is φ = 1050404281344.

The previous prime is 3479859415451. The next prime is 3479859415537. The reversal of 3479859415488 is 8845149589743.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129450433 + ... + 129477311.

It is an arithmetic number, because the mean of its divisors is an integer number (45178675200).

Almost surely, 2^{3479859415488} is an apocalyptic number.

3479859415488 is a gapful number since it is divisible by the number (38) 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 3479859415488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060011622400).

3479859415488 is an abundant number, since it is smaller than the sum of its proper divisors (6640163829312).

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

3479859415488 is a wasteful number, since it uses less digits than its factorization.

3479859415488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28479 (or 28469 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 75.

The spelling of 3479859415488 in words is "three trillion, four hundred seventy-nine billion, eight hundred fifty-nine million, four hundred fifteen thousand, four hundred eighty-eight".