3347973216 has 288 divisors, whose sum is σ = 11730216960. Its totient is φ = 925344000.

The previous prime is 3347973199. The next prime is 3347973323. The reversal of 3347973216 is 6123797433.

It is a happy number.

3347973216 is a `hidden beast` number, since 3 + 347 + 97 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3347973216² = 22417849310106765312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1311141 + ... + 1313691.

It is an arithmetic number, because the mean of its divisors is an integer number (40729920).

Almost surely, 2^3347973216 is an apocalyptic number.

3347973216 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 3347973216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5865108480).

3347973216 is an abundant number, since it is smaller than the sum of its proper divisors (8382243744).

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

3347973216 is a wasteful number, since it uses less digits than its factorization.

3347973216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2615 (or 2594 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 3347973216 is about 57861.6731178766. The cubic root of 3347973216 is about 1495.9852963562.

The spelling of 3347973216 in words is "three billion, three hundred forty-seven million, nine hundred seventy-three thousand, two hundred sixteen".