38430381312 has 360 divisors, whose sum is σ = 125897808960. Its totient is φ = 11605524480.

The previous prime is 38430381281. The next prime is 38430381361. The reversal of 38430381312 is 21318303483.

38430381312 is a `hidden beast` number, since 38 + 4 + 303 + 8 + 1 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9059512 + ... + 9063752.

It is an arithmetic number, because the mean of its divisors is an integer number (349716136).

Almost surely, 2^38430381312 is an apocalyptic number.

38430381312 is a gapful number since it is divisible by the number (32) 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 38430381312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62948904480).

38430381312 is an abundant number, since it is smaller than the sum of its proper divisors (87467427648).

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

38430381312 is a wasteful number, since it uses less digits than its factorization.

38430381312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 38430381312 its reverse (21318303483), we get a palindrome (59748684795).

The spelling of 38430381312 in words is "thirty-eight billion, four hundred thirty million, three hundred eighty-one thousand, three hundred twelve".