3477413268648 has 160 divisors (see below), whose sum is σ = 10689058416960. Its totient is φ = 1047451288320.

The previous prime is 3477413268607. The next prime is 3477413268661. The reversal of 3477413268648 is 8468623147743.

3477413268648 is a `hidden beast` number, since 3 + 477 + 41 + 3 + 2 + 6 + 86 + 48 = 666.

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, 270261 + ... + 2651012.

It is an arithmetic number, because the mean of its divisors is an integer number (66806615106).

Almost surely, 2^{3477413268648} 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 3477413268648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344529208480).

3477413268648 is an abundant number, since it is smaller than the sum of its proper divisors (7211645148312).

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

3477413268648 is a wasteful number, since it uses less digits than its factorization.

3477413268648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921469 (or 2921456 counting only the distinct ones).

The product of its digits is 130056192, while the sum is 63.

The spelling of 3477413268648 in words is "three trillion, four hundred seventy-seven billion, four hundred thirteen million, two hundred sixty-eight thousand, six hundred forty-eight".