38418372743520 has 768 divisors, whose sum is σ = 159254271590400. Its totient is φ = 7542220677120.

The previous prime is 38418372743507. The next prime is 38418372743609. The reversal of 38418372743520 is 2534727381483.

It is a happy number.

38418372743520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257647546 + ... + 257796614.

It is an arithmetic number, because the mean of its divisors is an integer number (207362332800).

Almost surely, 2^{38418372743520} is an apocalyptic number.

38418372743520 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 38418372743520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79627135795200).

38418372743520 is an abundant number, since it is smaller than the sum of its proper divisors (120835898846880).

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

38418372743520 is a wasteful number, since it uses less digits than its factorization.

38418372743520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149491 (or 149483 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 57.

The spelling of 38418372743520 in words is "thirty-eight trillion, four hundred eighteen billion, three hundred seventy-two million, seven hundred forty-three thousand, five hundred twenty".