3381483504600 has 192 divisors, whose sum is σ = 11652480756000. Its totient is φ = 901330329600.

The previous prime is 3381483504587. The next prime is 3381483504611. The reversal of 3381483504600 is 64053841833.

3381483504600 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 4 + 8 + 35 + 0 + 4 + 600 = 666.

It is a super-2 number, since 2×3381483504600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12180136 + ... + 12454664.

Almost surely, 2^{3381483504600} is an apocalyptic number.

3381483504600 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 3381483504600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5826240378000).

3381483504600 is an abundant number, since it is smaller than the sum of its proper divisors (8270997251400).

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

3381483504600 is a wasteful number, since it uses less digits than its factorization.

3381483504600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276835 (or 276820 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 3381483504600 in words is "three trillion, three hundred eighty-one billion, four hundred eighty-three million, five hundred four thousand, six hundred".