38372263917120 has 1008 divisors, whose sum is σ = 155272263237936. Its totient is φ = 8671703040000.

The previous prime is 38372263917101. The next prime is 38372263917217. The reversal of 38372263917120 is 2171936227383.

It is a happy number.

38372263917120 is a `hidden beast` number, since 3 + 8 + 3 + 7 + 226 + 391 + 7 + 1 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3621804834816 + 34750459082304 = 1903104^2 + 5894952^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13412184490 + ... + 13412187350.

Almost surely, 2^{38372263917120} is an apocalyptic number.

38372263917120 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 38372263917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77636131618968).

38372263917120 is an abundant number, since it is smaller than the sum of its proper divisors (116899999320816).

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

38372263917120 is a wasteful number, since it uses less digits than its factorization.

38372263917120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3920 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 38372263917120 in words is "thirty-eight trillion, three hundred seventy-two billion, two hundred sixty-three million, nine hundred seventeen thousand, one hundred twenty".