3479606784 has 240 divisors, whose sum is σ = 10890923472. Its totient is φ = 1065222144.

The previous prime is 3479606783. The next prime is 3479606797. The reversal of 3479606784 is 4876069743.

It is a happy number.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 3479606784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479606783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3367932 + ... + 3368964.

Almost surely, 2^3479606784 is an apocalyptic number.

3479606784 is a gapful number since it is divisible by the number (34) 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 3479606784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445461736).

3479606784 is an abundant number, since it is smaller than the sum of its proper divisors (7411316688).

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

3479606784 is a wasteful number, since it uses less digits than its factorization.

3479606784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3479606784 is about 58988.1919031258. The cubic root of 3479606784 is about 1515.3398917163.

The spelling of 3479606784 in words is "three billion, four hundred seventy-nine million, six hundred six thousand, seven hundred eighty-four".