3378129007253 has 24 divisors (see below), whose sum is σ = 4560590995776. Its totient is φ = 2429823052800.

The previous prime is 3378129007213. The next prime is 3378129007259. The reversal of 3378129007253 is 3527009218733.

It is not a de Polignac number, because 3378129007253 - 2⁸ = 3378129006997 is a prime.

It is a super-2 number, since 2×3378129007253² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3378129007259) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 129785228 + ... + 129811253.

It is an arithmetic number, because the mean of its divisors is an integer number (190024624824).

Almost surely, 2^{3378129007253} is an apocalyptic number.

It is an amenable number.

3378129007253 is a deficient number, since it is larger than the sum of its proper divisors (1182461988523).

3378129007253 is a wasteful number, since it uses less digits than its factorization.

3378129007253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259596525 (or 259596512 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 50.

The spelling of 3378129007253 in words is "three trillion, three hundred seventy-eight billion, one hundred twenty-nine million, seven thousand, two hundred fifty-three".