3364534331100 has 216 divisors, whose sum is σ = 10938219784128. Its totient is φ = 864316224000.

The previous prime is 3364534331099. The next prime is 3364534331113. The reversal of 3364534331100 is 11334354633.

3364534331100 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 534 + 3 + 3 + 110 + 0 = 666.

It is a super-3 number, since 3×3364534331100³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2863117 + ... + 3863483.

It is an arithmetic number, because the mean of its divisors is an integer number (50639906408).

Almost surely, 2^{3364534331100} is an apocalyptic number.

3364534331100 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 3364534331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469109892064).

3364534331100 is an abundant number, since it is smaller than the sum of its proper divisors (7573685453028).

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

3364534331100 is a wasteful number, since it uses less digits than its factorization.

3364534331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000525 (or 1000515 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

Adding to 3364534331100 its reverse (11334354633), we get a palindrome (3375868685733).

The spelling of 3364534331100 in words is "three trillion, three hundred sixty-four billion, five hundred thirty-four million, three hundred thirty-one thousand, one hundred".