3473920579584 has 384 divisors, whose sum is σ = 11663971038720. Its totient is φ = 894885691392.

The previous prime is 3473920579537. The next prime is 3473920579601. The reversal of 3473920579584 is 4859750293743.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3473920579584² (a number of 26 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 23969224 + ... + 24113720.

It is an arithmetic number, because the mean of its divisors is an integer number (30374924580).

Almost surely, 2^{3473920579584} 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 3473920579584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831985519360).

3473920579584 is an abundant number, since it is smaller than the sum of its proper divisors (8190050459136).

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

3473920579584 is a wasteful number, since it uses less digits than its factorization.

3473920579584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144585 (or 144565 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

It can be divided in two parts, 3473920 and 579584, that added together give a palindrome (4053504).

The spelling of 3473920579584 in words is "three trillion, four hundred seventy-three billion, nine hundred twenty million, five hundred seventy-nine thousand, five hundred eighty-four".