38838354773400 has 480 divisors, whose sum is σ = 166020141635040. Its totient is φ = 8194465751040.

The previous prime is 38838354773377. The next prime is 38838354773431. The reversal of 38838354773400 is 437745383883.

It is a happy number.

38838354773400 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 83 + 547 + 7 + 3 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11698489 + ... + 14646888.

It is an arithmetic number, because the mean of its divisors is an integer number (345875295073).

Almost surely, 2^{38838354773400} is an apocalyptic number.

38838354773400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38838354773400 is an abundant number, since it is smaller than the sum of its proper divisors (127181786861640).

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

38838354773400 is a wasteful number, since it uses less digits than its factorization.

38838354773400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26345425 (or 26345407 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 38838354773400 in words is "thirty-eight trillion, eight hundred thirty-eight billion, three hundred fifty-four million, seven hundred seventy-three thousand, four hundred".