38534469120 has 640 divisors, whose sum is σ = 158719841280. Its totient is φ = 8679260160.

The previous prime is 38534469067. The next prime is 38534469157. The reversal of 38534469120 is 2196443583.

38534469120 is a `hidden beast` number, since 3 + 8 + 534 + 4 + 6 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35319775 + ... + 35320865.

It is an arithmetic number, because the mean of its divisors is an integer number (247999752).

Almost surely, 2^38534469120 is an apocalyptic number.

38534469120 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 38534469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79359920640).

38534469120 is an abundant number, since it is smaller than the sum of its proper divisors (120185372160).

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

38534469120 is a wasteful number, since it uses less digits than its factorization.

38534469120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38534469120 in words is "thirty-eight billion, five hundred thirty-four million, four hundred sixty-nine thousand, one hundred twenty".