38432826432 has 896 divisors, whose sum is σ = 160747130880. Its totient is φ = 8665989120.

The previous prime is 38432826427. The next prime is 38432826463. The reversal of 38432826432 is 23462823483.

38432826432 is a `hidden beast` number, since 38 + 4 + 328 + 264 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29404723 + ... + 29406029.

It is an arithmetic number, because the mean of its divisors is an integer number (179405280).

Almost surely, 2^38432826432 is an apocalyptic number.

38432826432 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 38432826432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80373565440).

38432826432 is an abundant number, since it is smaller than the sum of its proper divisors (122314304448).

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

38432826432 is a wasteful number, since it uses less digits than its factorization.

38432826432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1360 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The spelling of 38432826432 in words is "thirty-eight billion, four hundred thirty-two million, eight hundred twenty-six thousand, four hundred thirty-two".