38430232562304 has 320 divisors, whose sum is σ = 124796577312000. Its totient is φ = 11642560634880.

The previous prime is 38430232562303. The next prime is 38430232562321. The reversal of 38430232562304 is 40326523203483.

38430232562304 is a `hidden beast` number, since 3 + 8 + 4 + 30 + 23 + 2 + 562 + 30 + 4 = 666.

It is a super-3 number, since 3×38430232562304³ (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38430232562304.

It is not an unprimeable number, because it can be changed into a prime (38430232562303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 470635272 + ... + 470716920.

It is an arithmetic number, because the mean of its divisors is an integer number (389989304100).

Almost surely, 2^{38430232562304} 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 38430232562304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62398288656000).

38430232562304 is an abundant number, since it is smaller than the sum of its proper divisors (86366344749696).

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

38430232562304 is a wasteful number, since it uses less digits than its factorization.

38430232562304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85813 (or 85792 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 38430232562304 its reverse (40326523203483), we get a palindrome (78756755765787).

The spelling of 38430232562304 in words is "thirty-eight trillion, four hundred thirty billion, two hundred thirty-two million, five hundred sixty-two thousand, three hundred four".