38430653266272 has 96 divisors (see below), whose sum is σ = 101811711909600. Its totient is φ = 12691977412608.

The previous prime is 38430653266199. The next prime is 38430653266273. The reversal of 38430653266272 is 27266235603483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38430653266272² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38430653266273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204969304 + ... + 205156712.

It is an arithmetic number, because the mean of its divisors is an integer number (1060538665725).

Almost surely, 2^{38430653266272} is an apocalyptic number.

38430653266272 is a gapful number since it is divisible by the number (32) 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 38430653266272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50905855954800).

38430653266272 is an abundant number, since it is smaller than the sum of its proper divisors (63381058643328).

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

38430653266272 is a wasteful number, since it uses less digits than its factorization.

38430653266272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207128 (or 207120 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 57.

The spelling of 38430653266272 in words is "thirty-eight trillion, four hundred thirty billion, six hundred fifty-three million, two hundred sixty-six thousand, two hundred seventy-two".