38349642240000 has 4680 divisors, whose sum is σ = 181502582706720. Its totient is φ = 7970586624000.

The previous prime is 38349642239939. The next prime is 38349642240043. The reversal of 38349642240000 is 4224694383.

38349642240000 is a `hidden beast` number, since 3 + 8 + 349 + 64 + 2 + 240 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 572382719967 + ... + 572382720033.

Almost surely, 2^{38349642240000} is an apocalyptic number.

38349642240000 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 38349642240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90751291353360).

38349642240000 is an abundant number, since it is smaller than the sum of its proper divisors (143152940466720).

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

38349642240000 is an equidigital number, since it uses as much as digits as its factorization.

38349642240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 38349642240000 in words is "thirty-eight trillion, three hundred forty-nine billion, six hundred forty-two million, two hundred forty thousand".