38422861963200 has 3360 divisors, whose sum is σ = 175413192480000. Its totient is φ = 8090921779200.

The previous prime is 38422861963169. The next prime is 38422861963201. The reversal of 38422861963200 is 236916822483.

38422861963200 is a `hidden beast` number, since 3 + 8 + 4 + 228 + 6 + 1 + 96 + 320 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38422861963201) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 257871556726 + ... + 257871556874.

Almost surely, 2^{38422861963200} is an apocalyptic number.

38422861963200 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 38422861963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87706596240000).

38422861963200 is an abundant number, since it is smaller than the sum of its proper divisors (136990330516800).

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

38422861963200 is a wasteful number, since it uses less digits than its factorization.

38422861963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 38422861963200 in words is "thirty-eight trillion, four hundred twenty-two billion, eight hundred sixty-one million, nine hundred sixty-three thousand, two hundred".