38343606434432 has 256 divisors, whose sum is σ = 83632115767200. Its totient is φ = 17405897932800.

The previous prime is 38343606434407. The next prime is 38343606434437. The reversal of 38343606434432 is 23443460634383.

It can be written as a sum of positive squares in 16 ways, for example, as 34736013376 + 38308870421056 = 186376^2 + 6189416^2 .

It is not an unprimeable number, because it can be changed into a prime (38343606434437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10828466582 + ... + 10828470122.

Almost surely, 2^{38343606434432} is an apocalyptic number.

38343606434432 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 38343606434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41816057883600).

38343606434432 is an abundant number, since it is smaller than the sum of its proper divisors (45288509332768).

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

38343606434432 is a wasteful number, since it uses less digits than its factorization.

38343606434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 53.

The spelling of 38343606434432 in words is "thirty-eight trillion, three hundred forty-three billion, six hundred six million, four hundred thirty-four thousand, four hundred thirty-two".