3479787360 has 288 divisors, whose sum is σ = 13759986240. Its totient is φ = 784318464.

The previous prime is 3479787257. The next prime is 3479787361. The reversal of 3479787360 is 637879743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 3479787297 and 3479787306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3479787361) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 733476 + ... + 738204.

It is an arithmetic number, because the mean of its divisors is an integer number (47777730).

Almost surely, 2^3479787360 is an apocalyptic number.

3479787360 is a gapful number since it is divisible by the number (30) 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 3479787360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879993120).

3479787360 is an abundant number, since it is smaller than the sum of its proper divisors (10280198880).

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

3479787360 is a wasteful number, since it uses less digits than its factorization.

3479787360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4830 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 3479787360 is about 58989.7224946855. The cubic root of 3479787360 is about 1515.3661043795.

The spelling of 3479787360 in words is "three billion, four hundred seventy-nine million, seven hundred eighty-seven thousand, three hundred sixty".