38408097974400 has 6144 divisors, whose sum is σ = 190791902822400. Its totient is φ = 7315660800000.

The previous prime is 38408097974387. The next prime is 38408097974453. The reversal of 38408097974400 is 447979080483.

38408097974400 is a `hidden beast` number, since 3 + 8 + 40 + 80 + 9 + 79 + 7 + 440 + 0 = 666.

It is a super-2 number, since 2×38408097974400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 767 ways as a sum of consecutive naturals, for example, 540959126365 + ... + 540959126435.

It is an arithmetic number, because the mean of its divisors is an integer number (31053369600).

Almost surely, 2^{38408097974400} is an apocalyptic number.

38408097974400 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 38408097974400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95395951411200).

38408097974400 is an abundant number, since it is smaller than the sum of its proper divisors (152383804848000).

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

38408097974400 is a wasteful number, since it uses less digits than its factorization.

38408097974400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 38408097974400 in words is "thirty-eight trillion, four hundred eight billion, ninety-seven million, nine hundred seventy-four thousand, four hundred".