38344072605696 has 3744 divisors, whose sum is σ = 152738370150912. Its totient is φ = 9473611530240.

The previous prime is 38344072605677. The next prime is 38344072605743. The reversal of 38344072605696 is 69650627044383.

38344072605696 is a `hidden beast` number, since 3 + 8 + 3 + 4 + 4 + 0 + 7 + 2 + 60 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 723473068006 + ... + 723473068058.

It is an arithmetic number, because the mean of its divisors is an integer number (40795504848).

Almost surely, 2^{38344072605696} is an apocalyptic number.

38344072605696 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 38344072605696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76369185075456).

38344072605696 is an abundant number, since it is smaller than the sum of its proper divisors (114394297545216).

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

38344072605696 is a wasteful number, since it uses less digits than its factorization.

38344072605696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 38344072605696 in words is "thirty-eight trillion, three hundred forty-four billion, seventy-two million, six hundred five thousand, six hundred ninety-six".