38342044016640 has 3584 divisors, whose sum is σ = 180666502410240. Its totient is φ = 7485121363968.

The previous prime is 38342044016611. The next prime is 38342044016659. The reversal of 38342044016640 is 4661044024383.

38342044016640 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 2 + 0 + 440 + 166 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×38342044016640² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 124892651367 + ... + 124892651673.

It is an arithmetic number, because the mean of its divisors is an integer number (50409180360).

Almost surely, 2^{38342044016640} is an apocalyptic number.

38342044016640 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 38342044016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90333251205120).

38342044016640 is an abundant number, since it is smaller than the sum of its proper divisors (142324458393600).

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

38342044016640 is a wasteful number, since it uses less digits than its factorization.

38342044016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 38342044016640 in words is "thirty-eight trillion, three hundred forty-two billion, forty-four million, sixteen thousand, six hundred forty".