38638935760896 has 224 divisors, whose sum is σ = 114521426958720. Its totient is φ = 12874843717632.

The previous prime is 38638935760889. The next prime is 38638935760903. The reversal of 38638935760896 is 69806753983683.

It is a happy number.

38638935760896 is a `hidden beast` number, since 3 + 8 + 6 + 38 + 9 + 3 + 576 + 0 + 8 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38638935760889) and next prime (38638935760903).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 619947591 + ... + 620009913.

Almost surely, 2^{38638935760896} is an apocalyptic number.

38638935760896 is a gapful number since it is divisible by the number (36) 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 38638935760896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57260713479360).

38638935760896 is an abundant number, since it is smaller than the sum of its proper divisors (75882491197824).

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

38638935760896 is an equidigital number, since it uses as much as digits as its factorization.

38638935760896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65161 (or 65131 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 38638935760896 in words is "thirty-eight trillion, six hundred thirty-eight billion, nine hundred thirty-five million, seven hundred sixty thousand, eight hundred ninety-six".