38430442785525 has 144 divisors (see below), whose sum is σ = 75918888112320. Its totient is φ = 17091285120000.

The previous prime is 38430442785481. The next prime is 38430442785533. The reversal of 38430442785525 is 52558724403483.

It is a happy number.

38430442785525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 38430442785525 - 2⁶ = 38430442785461 is a prime.

It is a super-2 number, since 2×38430442785525² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1767800106 + ... + 1767821844.

It is an arithmetic number, because the mean of its divisors is an integer number (527214500780).

Almost surely, 2^{38430442785525} is an apocalyptic number.

38430442785525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

38430442785525 is a deficient number, since it is larger than the sum of its proper divisors (37488445326795).

38430442785525 is a wasteful number, since it uses less digits than its factorization.

38430442785525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34804 (or 34792 counting only the distinct ones).

The product of its (nonzero) digits is 129024000, while the sum is 60.

The spelling of 38430442785525 in words is "thirty-eight trillion, four hundred thirty billion, four hundred forty-two million, seven hundred eighty-five thousand, five hundred twenty-five".