38025953280 has 576 divisors, whose sum is σ = 155020884480. Its totient is φ = 8663334912.

The previous prime is 38025953257. The next prime is 38025953281. The reversal of 38025953280 is 8235952083.

38025953280 is a `hidden beast` number, since 38 + 0 + 2 + 5 + 9 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38025953281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123862887 + ... + 123863193.

It is an arithmetic number, because the mean of its divisors is an integer number (269133480).

Almost surely, 2^38025953280 is an apocalyptic number.

38025953280 is a gapful number since it is divisible by the number (30) 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 38025953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77510442240).

38025953280 is an abundant number, since it is smaller than the sum of its proper divisors (116994931200).

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

38025953280 is an frugal number, since it uses more digits than its factorization.

38025953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 38025953280 in words is "thirty-eight billion, twenty-five million, nine hundred fifty-three thousand, two hundred eighty".