38430454279360 has 672 divisors, whose sum is σ = 109600591161600. Its totient is φ = 12748559155200.

The previous prime is 38430454279351. The next prime is 38430454279361. The reversal of 38430454279360 is 6397245403483.

It is a super-3 number, since 3×38430454279360³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 38430454279295 and 38430454279304.

It is not an unprimeable number, because it can be changed into a prime (38430454279361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31218889945 + ... + 31218891175.

It is an arithmetic number, because the mean of its divisors is an integer number (163096117800).

Almost surely, 2^{38430454279360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38430454279360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54800295580800).

38430454279360 is an abundant number, since it is smaller than the sum of its proper divisors (71170136882240).

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

38430454279360 is a wasteful number, since it uses less digits than its factorization.

38430454279360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 58.

The spelling of 38430454279360 in words is "thirty-eight trillion, four hundred thirty billion, four hundred fifty-four million, two hundred seventy-nine thousand, three hundred sixty".