3348297216 has 320 divisors, whose sum is σ = 10971797760. Its totient is φ = 999751680.

The previous prime is 3348297181. The next prime is 3348297269. The reversal of 3348297216 is 6127928433.

3348297216 is a `hidden beast` number, since 3 + 348 + 2 + 97 + 216 = 666.

It is a super-2 number, since 2×3348297216² = 22422188493346701312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14750095 + ... + 14750321.

It is an arithmetic number, because the mean of its divisors is an integer number (34286868).

Almost surely, 2^3348297216 is an apocalyptic number.

3348297216 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 3348297216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485898880).

3348297216 is an abundant number, since it is smaller than the sum of its proper divisors (7623500544).

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

3348297216 is a wasteful number, since it uses less digits than its factorization.

3348297216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 340 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 3348297216 is about 57864.4728309176. The cubic root of 3348297216 is about 1496.0335527758.

The spelling of 3348297216 in words is "three billion, three hundred forty-eight million, two hundred ninety-seven thousand, two hundred sixteen".