38661353643000 has 256 divisors, whose sum is σ = 133553214512640. Its totient is φ = 9232561536000.

The previous prime is 38661353642999. The next prime is 38661353643001. The reversal of 38661353643000 is 34635316683.

It is an interprime number because it is at equal distance from previous prime (38661353642999) and next prime (38661353643001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38661353643001) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6531957 + ... + 10953956.

It is an arithmetic number, because the mean of its divisors is an integer number (521692244190).

Almost surely, 2^{38661353643000} is an apocalyptic number.

38661353643000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38661353643000 is an abundant number, since it is smaller than the sum of its proper divisors (94891860869640).

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

38661353643000 is a wasteful number, since it uses less digits than its factorization.

38661353643000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17486015 (or 17486001 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

Adding to 38661353643000 its reverse (34635316683), we get a palindrome (38695988959683).

The spelling of 38661353643000 in words is "thirty-eight trillion, six hundred sixty-one billion, three hundred fifty-three million, six hundred forty-three thousand".