38355014400 has 108 divisors (see below), whose sum is σ = 126579601512. Its totient is φ = 10227998720.

The previous prime is 38355014377. The next prime is 38355014447. The reversal of 38355014400 is 441055383.

It is a super-2 number, since 2×38355014400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 979629 + ... + 1018028.

Almost surely, 2^38355014400 is an apocalyptic number.

38355014400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38355014400 is an abundant number, since it is smaller than the sum of its proper divisors (88224587112).

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

38355014400 is a wasteful number, since it uses less digits than its factorization.

38355014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997686 (or 1997667 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 38355014400 its reverse (441055383), we get a palindrome (38796069783).

The spelling of 38355014400 in words is "thirty-eight billion, three hundred fifty-five million, fourteen thousand, four hundred".