38739056049504 has 288 divisors, whose sum is σ = 122795898432480. Its totient is φ = 11512623661056.

The previous prime is 38739056049437. The next prime is 38739056049553. The reversal of 38739056049504 is 40594065093783.

38739056049504 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 90 + 56 + 0 + 495 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38739056049504² (a number of 28 digits) contains 22 as substring.

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, 1550976664 + ... + 1551001640.

It is an arithmetic number, because the mean of its divisors is an integer number (426374647335).

Almost surely, 2^{38739056049504} is an apocalyptic number.

38739056049504 is a gapful number since it is divisible by the number (34) 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 38739056049504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61397949216240).

38739056049504 is an abundant number, since it is smaller than the sum of its proper divisors (84056842382976).

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

38739056049504 is a wasteful number, since it uses less digits than its factorization.

38739056049504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41702 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 38739056049504 in words is "thirty-eight trillion, seven hundred thirty-nine billion, fifty-six million, forty-nine thousand, five hundred four".