3471960960 has 384 divisors, whose sum is σ = 13031928000. Its totient is φ = 846692352.

The previous prime is 3471960959. The next prime is 3471961001. The reversal of 3471960960 is 690691743.

3471960960 is a `hidden beast` number, since 3 + 471 + 96 + 0 + 96 + 0 = 666.

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

It is a super-3 number, since 3×3471960960³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14901004 + ... + 14901236.

Almost surely, 2^3471960960 is an apocalyptic number.

3471960960 is a gapful number since it is divisible by the number (30) 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 3471960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6515964000).

3471960960 is an abundant number, since it is smaller than the sum of its proper divisors (9559967040).

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

3471960960 is a wasteful number, since it uses less digits than its factorization.

3471960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 3471960960 is about 58923.3481737078. The cubic root of 3471960960 is about 1514.2291801437.

The spelling of 3471960960 in words is "three billion, four hundred seventy-one million, nine hundred sixty thousand, nine hundred sixty".