3471648336 has 600 divisors, whose sum is σ = 12381540864. Its totient is φ = 930631680.

The previous prime is 3471648329. The next prime is 3471648449. The reversal of 3471648336 is 6338461743.

3471648336 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3471648291 and 3471648300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 111988641 + ... + 111988671.

Almost surely, 2^3471648336 is an apocalyptic number.

3471648336 is a gapful number since it is divisible by the number (36) 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 3471648336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6190770432).

3471648336 is an abundant number, since it is smaller than the sum of its proper divisors (8909892528).

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

3471648336 is a wasteful number, since it uses less digits than its factorization.

3471648336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 3471648336 is about 58920.6953115796. The cubic root of 3471648336 is about 1514.1837304591.

The spelling of 3471648336 in words is "three billion, four hundred seventy-one million, six hundred forty-eight thousand, three hundred thirty-six".