38424207360 has 896 divisors, whose sum is σ = 159440928768. Its totient is φ = 7667712000.

The previous prime is 38424207337. The next prime is 38424207361. The reversal of 38424207360 is 6370242483.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×38424207360² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38424207361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 293314495 + ... + 293314625.

Almost surely, 2^38424207360 is an apocalyptic number.

38424207360 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 38424207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79720464384).

38424207360 is an abundant number, since it is smaller than the sum of its proper divisors (121016721408).

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

38424207360 is a wasteful number, since it uses less digits than its factorization.

38424207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 38424207360 in words is "thirty-eight billion, four hundred twenty-four million, two hundred seven thousand, three hundred sixty".