38145329352 has 144 divisors (see below), whose sum is σ = 116012791440. Its totient is φ = 11736923328.

The previous prime is 38145329311. The next prime is 38145329359. The reversal of 38145329352 is 25392354183.

38145329352 is a `hidden beast` number, since 3 + 81 + 4 + 532 + 9 + 35 + 2 = 666.

It is a super-3 number, since 3×38145329352³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38145329298 and 38145329307.

It is not an unprimeable number, because it can be changed into a prime (38145329359) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 270483 + ... + 386589.

It is an arithmetic number, because the mean of its divisors is an integer number (805644385).

Almost surely, 2^38145329352 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 38145329352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58006395720).

38145329352 is an abundant number, since it is smaller than the sum of its proper divisors (77867462088).

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

38145329352 is a wasteful number, since it uses less digits than its factorization.

38145329352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116154 (or 116125 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 38145329352 in words is "thirty-eight billion, one hundred forty-five million, three hundred twenty-nine thousand, three hundred fifty-two".