38442539520 has 1280 divisors, whose sum is σ = 176491560960. Its totient is φ = 7697203200.

The previous prime is 38442539491. The next prime is 38442539537. The reversal of 38442539520 is 2593524483.

38442539520 is a `hidden beast` number, since 3 + 84 + 42 + 5 + 3 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164989324 + ... + 164989556.

It is an arithmetic number, because the mean of its divisors is an integer number (137884032).

Almost surely, 2^38442539520 is an apocalyptic number.

38442539520 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 38442539520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88245780480).

38442539520 is an abundant number, since it is smaller than the sum of its proper divisors (138049021440).

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

38442539520 is a wasteful number, since it uses less digits than its factorization.

38442539520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 38442539520 in words is "thirty-eight billion, four hundred forty-two million, five hundred thirty-nine thousand, five hundred twenty".