3364006367 has 16 divisors (see below), whose sum is σ = 3528205152. Its totient is φ = 3204334080.

The previous prime is 3364006357. The next prime is 3364006423. The reversal of 3364006367 is 7636004633.

3364006367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3364006367 is a prime.

It is a super-2 number, since 2×3364006367² = 22633077674433077378, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3364006367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3364006337) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365492 + ... + 374582.

It is an arithmetic number, because the mean of its divisors is an integer number (220512822).

Almost surely, 2^3364006367 is an apocalyptic number.

3364006367 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

3364006367 is a deficient number, since it is larger than the sum of its proper divisors (164198785).

3364006367 is a wasteful number, since it uses less digits than its factorization.

3364006367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9338.

The product of its (nonzero) digits is 163296, while the sum is 38.

The square root of 3364006367 is about 58000.0548879051. The cubic root of 3364006367 is about 1498.3695420096.

The spelling of 3364006367 in words is "three billion, three hundred sixty-four million, six thousand, three hundred sixty-seven".