38049477379200 has 288 divisors, whose sum is σ = 155164863634560. Its totient is φ = 8697023354880.

The previous prime is 38049477379159. The next prime is 38049477379253. The reversal of 38049477379200 is 297377494083.

38049477379200 is a `hidden beast` number, since 3 + 8 + 0 + 49 + 477 + 37 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 94167144 + ... + 94570343.

It is an arithmetic number, because the mean of its divisors is an integer number (538766887620).

Almost surely, 2^{38049477379200} is an apocalyptic number.

38049477379200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38049477379200 is an abundant number, since it is smaller than the sum of its proper divisors (117115386255360).

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

38049477379200 is a wasteful number, since it uses less digits than its factorization.

38049477379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188737524 (or 188737504 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 38049477379200 in words is "thirty-eight trillion, forty-nine billion, four hundred seventy-seven million, three hundred seventy-nine thousand, two hundred".