3392649216 has 288 divisors, whose sum is σ = 11077138800. Its totient is φ = 990904320.

The previous prime is 3392649193. The next prime is 3392649229. The reversal of 3392649216 is 6129462933.

3392649216 is a `hidden beast` number, since 3 + 392 + 6 + 49 + 216 = 666.

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

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5879520 + ... + 5880096.

Almost surely, 2^3392649216 is an apocalyptic number.

3392649216 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 3392649216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5538569400).

3392649216 is an abundant number, since it is smaller than the sum of its proper divisors (7684489584).

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

3392649216 is a wasteful number, since it uses less digits than its factorization.

3392649216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 622 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 3392649216 is about 58246.4523898237. The cubic root of 3392649216 is about 1502.6101540959.

The spelling of 3392649216 in words is "three billion, three hundred ninety-two million, six hundred forty-nine thousand, two hundred sixteen".