38530129248 has 240 divisors, whose sum is σ = 124634220480. Its totient is φ = 11602704384.

The previous prime is 38530129217. The next prime is 38530129271. The reversal of 38530129248 is 84292103583.

38530129248 is a `hidden beast` number, since 3 + 85 + 301 + 29 + 248 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1571548 + ... + 1595876.

It is an arithmetic number, because the mean of its divisors is an integer number (519309252).

Almost surely, 2^38530129248 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 38530129248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62317110240).

38530129248 is an abundant number, since it is smaller than the sum of its proper divisors (86104091232).

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

38530129248 is a wasteful number, since it uses less digits than its factorization.

38530129248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24411 (or 24394 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 38530129248 in words is "thirty-eight billion, five hundred thirty million, one hundred twenty-nine thousand, two hundred forty-eight".