38696768765952 has 320 divisors, whose sum is σ = 115616718360000. Its totient is φ = 11409177968640.

The previous prime is 38696768765923. The next prime is 38696768765957. The reversal of 38696768765952 is 25956786769683.

It is not an unprimeable number, because it can be changed into a prime (38696768765957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640125424 + ... + 640185872.

It is an arithmetic number, because the mean of its divisors is an integer number (361302244875).

Almost surely, 2^{38696768765952} is an apocalyptic number.

38696768765952 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 38696768765952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57808359180000).

38696768765952 is an abundant number, since it is smaller than the sum of its proper divisors (76919949594048).

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

38696768765952 is an frugal number, since it uses more digits than its factorization.

38696768765952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60538 (or 60502 counting only the distinct ones).

The product of its digits is 49380710400, while the sum is 87.

The spelling of 38696768765952 in words is "thirty-eight trillion, six hundred ninety-six billion, seven hundred sixty-eight million, seven hundred sixty-five thousand, nine hundred fifty-two".