38044633536 has 336 divisors, whose sum is σ = 137077484544. Its totient is φ = 9819629568.

The previous prime is 38044633441. The next prime is 38044633541. The reversal of 38044633536 is 63533644083.

38044633536 is a `hidden beast` number, since 3 + 8 + 0 + 4 + 4 + 633 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 38044633491 and 38044633500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2455831 + ... + 2471273.

It is an arithmetic number, because the mean of its divisors is an integer number (407968704).

Almost surely, 2^38044633536 is an apocalyptic number.

38044633536 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 38044633536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68538742272).

38044633536 is an abundant number, since it is smaller than the sum of its proper divisors (99032851008).

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

38044633536 is a wasteful number, since it uses less digits than its factorization.

38044633536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15515 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 38044633536 in words is "thirty-eight billion, forty-four million, six hundred thirty-three thousand, five hundred thirty-six".