38992220467200 has 4992 divisors, whose sum is σ = 195970783733760. Its totient is φ = 7338354278400.

The previous prime is 38992220467139. The next prime is 38992220467219. The reversal of 38992220467200 is 276402229983.

38992220467200 is a `hidden beast` number, since 38 + 99 + 22 + 20 + 467 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4992).

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

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 383 ways as a sum of consecutive naturals, for example, 202032230304 + ... + 202032230496.

Almost surely, 2^{38992220467200} is an apocalyptic number.

38992220467200 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 38992220467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97985391866880).

38992220467200 is an abundant number, since it is smaller than the sum of its proper divisors (156978563266560).

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

38992220467200 is a wasteful number, since it uses less digits than its factorization.

38992220467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38992220467200 in words is "thirty-eight trillion, nine hundred ninety-two billion, two hundred twenty million, four hundred sixty-seven thousand, two hundred".