38330214472000 has 672 divisors, whose sum is σ = 109045831265280. Its totient is φ = 13311378432000.

The previous prime is 38330214471961. The next prime is 38330214472009. The reversal of 38330214472000 is 27441203383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38330214472009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23132295172 + ... + 23132296828.

It is an arithmetic number, because the mean of its divisors is an integer number (162270582240).

Almost surely, 2^{38330214472000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38330214472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54522915632640).

38330214472000 is an abundant number, since it is smaller than the sum of its proper divisors (70715616793280).

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

38330214472000 is a wasteful number, since it uses less digits than its factorization.

38330214472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

Adding to 38330214472000 its reverse (27441203383), we get a palindrome (38357655675383).

The spelling of 38330214472000 in words is "thirty-eight trillion, three hundred thirty billion, two hundred fourteen million, four hundred seventy-two thousand".