38109738522240 has 4608 divisors, whose sum is σ = 182802262406400. Its totient is φ = 7491236659200.

The previous prime is 38109738522239. The next prime is 38109738522241. The reversal of 38109738522240 is 4222583790183.

38109738522240 is a `hidden beast` number, since 3 + 8 + 1 + 0 + 9 + 73 + 8 + 522 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (38109738522239) and next prime (38109738522241).

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

It is not an unprimeable number, because it can be changed into a prime (38109738522241) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 148286920192 + ... + 148286920448.

Almost surely, 2^{38109738522240} is an apocalyptic number.

38109738522240 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 38109738522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91401131203200).

38109738522240 is an abundant number, since it is smaller than the sum of its proper divisors (144692523884160).

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

38109738522240 is a wasteful number, since it uses less digits than its factorization.

38109738522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38109738522240 in words is "thirty-eight trillion, one hundred nine billion, seven hundred thirty-eight million, five hundred twenty-two thousand, two hundred forty".