3477398688 has 240 divisors, whose sum is σ = 11040238440. Its totient is φ = 1069645824.

The previous prime is 3477398669. The next prime is 3477398693. The reversal of 3477398688 is 8868937743.

3477398688 is a `hidden beast` number, since 3 + 477 + 3 + 9 + 86 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3206730384 + 270668304 = 56628^2 + 16452^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2334648 + ... + 2336136.

Almost surely, 2^3477398688 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 3477398688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520119220).

3477398688 is an abundant number, since it is smaller than the sum of its proper divisors (7562839752).

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

3477398688 is a wasteful number, since it uses less digits than its factorization.

3477398688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1564 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The square root of 3477398688 is about 58969.4725090873. The cubic root of 3477398688 is about 1515.0192880595.

The spelling of 3477398688 in words is "three billion, four hundred seventy-seven million, three hundred ninety-eight thousand, six hundred eighty-eight".