3471672960 has 448 divisors, whose sum is σ = 14234532480. Its totient is φ = 792778752.

The previous prime is 3471672949. The next prime is 3471672977. The reversal of 3471672960 is 692761743.

3471672960 is a `hidden beast` number, since 347 + 16 + 7 + 296 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265389 + ... + 3266451.

It is an arithmetic number, because the mean of its divisors is an integer number (31773510).

Almost surely, 2^3471672960 is an apocalyptic number.

3471672960 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 3471672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117266240).

3471672960 is an abundant number, since it is smaller than the sum of its proper divisors (10762859520).

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

3471672960 is an equidigital number, since it uses as much as digits as its factorization.

3471672960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3471672960 is about 58920.9042700466. The cubic root of 3471672960 is about 1514.1873104273.

The spelling of 3471672960 in words is "three billion, four hundred seventy-one million, six hundred seventy-two thousand, nine hundred sixty".