38425247467200 has 2016 divisors, whose sum is σ = 158126786737920. Its totient is φ = 9099056332800.

The previous prime is 38425247467183. The next prime is 38425247467241. The reversal of 38425247467200 is 276474252483.

38425247467200 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 524 + 7 + 46 + 72 + 0 + 0 = 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 287 ways as a sum of consecutive naturals, for example, 49709246014 + ... + 49709246786.

It is an arithmetic number, because the mean of its divisors is an integer number (78435906120).

Almost surely, 2^{38425247467200} is an apocalyptic number.

38425247467200 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 38425247467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79063393368960).

38425247467200 is an abundant number, since it is smaller than the sum of its proper divisors (119701539270720).

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

38425247467200 is a wasteful number, since it uses less digits than its factorization.

38425247467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 38425247467200 in words is "thirty-eight trillion, four hundred twenty-five billion, two hundred forty-seven million, four hundred sixty-seven thousand, two hundred".