3364827312 has 160 divisors (see below), whose sum is σ = 11211425280. Its totient is φ = 843816960.

The previous prime is 3364827293. The next prime is 3364827353. The reversal of 3364827312 is 2137284633.

It is a super-2 number, since 2×3364827312² = 22644125679162290688, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 91488 + ... + 122880.

It is an arithmetic number, because the mean of its divisors is an integer number (70071408).

Almost surely, 2^3364827312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364827312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5605712640).

3364827312 is an abundant number, since it is smaller than the sum of its proper divisors (7846597968).

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

3364827312 is a wasteful number, since it uses less digits than its factorization.

3364827312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31451 (or 31445 counting only the distinct ones).

The product of its digits is 145152, while the sum is 39.

The square root of 3364827312 is about 58007.1315615589. The cubic root of 3364827312 is about 1498.4914184075.

The spelling of 3364827312 in words is "three billion, three hundred sixty-four million, eight hundred twenty-seven thousand, three hundred twelve".