38239924170240 has 960 divisors, whose sum is σ = 144043832604672. Its totient is φ = 9319455129600.

The previous prime is 38239924170197. The next prime is 38239924170269. The reversal of 38239924170240 is 4207142993283.

It is a happy number.

38239924170240 is a `hidden beast` number, since 3 + 8 + 2 + 3 + 99 + 241 + 70 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-4 number, since 4×38239924170240⁴ (a number of 55 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28947708780 + ... + 28947710100.

Almost surely, 2^{38239924170240} is an apocalyptic number.

38239924170240 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 38239924170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72021916302336).

38239924170240 is an abundant number, since it is smaller than the sum of its proper divisors (105803908434432).

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

38239924170240 is a wasteful number, since it uses less digits than its factorization.

38239924170240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38239924170240 in words is "thirty-eight trillion, two hundred thirty-nine billion, nine hundred twenty-four million, one hundred seventy thousand, two hundred forty".