3384013285125 has 1024 divisors, whose sum is σ = 7844069376000. Its totient is φ = 1420675200000.

The previous prime is 3384013285123. The next prime is 3384013285127. The reversal of 3384013285125 is 5215823104833.

3384013285125 is a `hidden beast` number, since 33 + 84 + 0 + 1 + 3 + 28 + 512 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3384013285123) and next prime (3384013285127).

It is not a de Polignac number, because 3384013285125 - 2¹ = 3384013285123 is a prime.

It is a super-3 number, since 3×3384013285125³ (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 (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3384013285123) by changing a digit.

It is a polite number, since it can be written in 1023 ways as a sum of consecutive naturals, for example, 55475627595 + ... + 55475627655.

It is an arithmetic number, because the mean of its divisors is an integer number (7660224000).

Almost surely, 2^{3384013285125} is an apocalyptic number.

It is an amenable number.

3384013285125 is an abundant number, since it is smaller than the sum of its proper divisors (4460056090875).

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

3384013285125 is a wasteful number, since it uses less digits than its factorization.

3384013285125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

Adding to 3384013285125 its reverse (5215823104833), we get a palindrome (8599836389958).

The spelling of 3384013285125 in words is "three trillion, three hundred eighty-four billion, thirteen million, two hundred eighty-five thousand, one hundred twenty-five".