3361266000 has 360 divisors, whose sum is σ = 12307165416. Its totient is φ = 854937600.

The previous prime is 3361265969. The next prime is 3361266017. The reversal of 3361266000 is 6621633.

3361266000 is a `hidden beast` number, since 3 + 36 + 1 + 26 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 222129216 + 3139136784 = 14904^2 + 56028^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3361266000² = 22596218245512000000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 9521824 + ... + 9522176.

Almost surely, 2^3361266000 is an apocalyptic number.

3361266000 is a gapful number since it is divisible by the number (30) 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 3361266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6153582708).

3361266000 is an abundant number, since it is smaller than the sum of its proper divisors (8945899416).

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

3361266000 is a wasteful number, since it uses less digits than its factorization.

3361266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3361266000 is about 57976.4262437760. The cubic root of 3361266000 is about 1497.9625671646.

Adding to 3361266000 its reverse (6621633), we get a palindrome (3367887633).

It can be divided in two parts, 3361 and 266000, that added together give a square (269361 = 519²).

The spelling of 3361266000 in words is "three billion, three hundred sixty-one million, two hundred sixty-six thousand".