3480776208 has 240 divisors, whose sum is σ = 12511699200. Its totient is φ = 878017536.

The previous prime is 3480776179. The next prime is 3480776209. The reversal of 3480776208 is 8026770843.

It is a happy number.

3480776208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3480776209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 295618 + ... + 307166.

It is an arithmetic number, because the mean of its divisors is an integer number (52132080).

Almost surely, 2^3480776208 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 3480776208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255849600).

3480776208 is an abundant number, since it is smaller than the sum of its proper divisors (9030922992).

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

3480776208 is a wasteful number, since it uses less digits than its factorization.

3480776208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11606 (or 11597 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 3480776208 is about 58998.1034271442. The cubic root of 3480776208 is about 1515.5096308530.

The spelling of 3480776208 in words is "three billion, four hundred eighty million, seven hundred seventy-six thousand, two hundred eight".