38405701324800 has 936 divisors, whose sum is σ = 144616841888064. Its totient is φ = 10100747796480.

The previous prime is 38405701324787. The next prime is 38405701324831. The reversal of 38405701324800 is 842310750483.

38405701324800 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 570 + 1 + 32 + 48 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1816463029 + ... + 1816484171.

Almost surely, 2^{38405701324800} is an apocalyptic number.

38405701324800 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 38405701324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72308420944032).

38405701324800 is an abundant number, since it is smaller than the sum of its proper divisors (106211140563264).

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

38405701324800 is an equidigital number, since it uses as much as digits as its factorization.

38405701324800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21265 (or 21226 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 38405701324800 in words is "thirty-eight trillion, four hundred five billion, seven hundred one million, three hundred twenty-four thousand, eight hundred".