38409755904 has 288 divisors, whose sum is σ = 126276684800. Its totient is φ = 11436318720.

The previous prime is 38409755897. The next prime is 38409755911. The reversal of 38409755904 is 40955790483.

38409755904 is a `hidden beast` number, since 3 + 8 + 40 + 9 + 7 + 5 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38409755897) and next prime (38409755911).

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2778642 + ... + 2792430.

Almost surely, 2^38409755904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38409755904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63138342400).

38409755904 is an abundant number, since it is smaller than the sum of its proper divisors (87866928896).

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

38409755904 is a wasteful number, since it uses less digits than its factorization.

38409755904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13858 (or 13838 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 38409755904 in words is "thirty-eight billion, four hundred nine million, seven hundred fifty-five thousand, nine hundred four".