3324114000 has 240 divisors, whose sum is σ = 11696465664. Its totient is φ = 879840000.

The previous prime is 3324113993. The next prime is 3324114019. The reversal of 3324114000 is 4114233.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3324114000² = 22099467769992000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 2717389 + ... + 2718611.

Almost surely, 2^3324114000 is an apocalyptic number.

3324114000 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 3324114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848232832).

3324114000 is an abundant number, since it is smaller than the sum of its proper divisors (8372351664).

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

3324114000 is a wasteful number, since it uses less digits than its factorization.

3324114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3324114000 is about 57655.1298671679. The cubic root of 3324114000 is about 1492.4231250860.

Adding to 3324114000 its reverse (4114233), we get a palindrome (3328228233).

The spelling of 3324114000 in words is "three billion, three hundred twenty-four million, one hundred fourteen thousand".