38905821146304 has 560 divisors, whose sum is σ = 133715323526400. Its totient is φ = 10955456354304.

The previous prime is 38905821146233. The next prime is 38905821146323. The reversal of 38905821146304 is 40364112850983.

It is a happy number.

38905821146304 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 582 + 11 + 46 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1261972362 + ... + 1262003190.

It is an arithmetic number, because the mean of its divisors is an integer number (238777363440).

Almost surely, 2^{38905821146304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38905821146304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66857661763200).

38905821146304 is an abundant number, since it is smaller than the sum of its proper divisors (94809502380096).

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

38905821146304 is a wasteful number, since it uses less digits than its factorization.

38905821146304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31362 (or 31343 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38905821146304 in words is "thirty-eight trillion, nine hundred five billion, eight hundred twenty-one million, one hundred forty-six thousand, three hundred four".