38303274240000 has 2880 divisors, whose sum is σ = 178413226992000. Its totient is φ = 7679508480000.

The previous prime is 38303274239983. The next prime is 38303274240001. The reversal of 38303274240000 is 4247230383.

38303274240000 is a `hidden beast` number, since 383 + 0 + 3 + 274 + 2 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38303274240001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25724159256 + ... + 25724160744.

It is an arithmetic number, because the mean of its divisors is an integer number (61949037150).

Almost surely, 2^{38303274240000} is an apocalyptic number.

38303274240000 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 38303274240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89206613496000).

38303274240000 is an abundant number, since it is smaller than the sum of its proper divisors (140109952752000).

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

38303274240000 is a wasteful number, since it uses less digits than its factorization.

38303274240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 38303274240000 in words is "thirty-eight trillion, three hundred three billion, two hundred seventy-four million, two hundred forty thousand".