3477968256 has 384 divisors, whose sum is σ = 11603813760. Its totient is φ = 916930560.

The previous prime is 3477968251. The next prime is 3477968311. The reversal of 3477968256 is 6528697743.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (15240960) is a multiple of the sum of its prime divisors (243).

It is a junction number, because it is equal to n+sod(n) for n = 3477968196 and 3477968205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3477968251) 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, 26549311 + ... + 26549441.

It is an arithmetic number, because the mean of its divisors is an integer number (30218265).

Almost surely, 2^3477968256 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 3477968256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5801906880).

3477968256 is an abundant number, since it is smaller than the sum of its proper divisors (8125845504).

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

3477968256 is a wasteful number, since it uses less digits than its factorization.

3477968256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 243 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 3477968256 is about 58974.3016575864. The cubic root of 3477968256 is about 1515.1019992540.

The spelling of 3477968256 in words is "three billion, four hundred seventy-seven million, nine hundred sixty-eight thousand, two hundred fifty-six".