38756229408 has 384 divisors, whose sum is σ = 126364492800. Its totient is φ = 11622942720.

The previous prime is 38756229371. The next prime is 38756229439. The reversal of 38756229408 is 80492265783.

38756229408 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 6 + 229 + 408 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37300953 + ... + 37301991.

It is an arithmetic number, because the mean of its divisors is an integer number (329074200).

Almost surely, 2^38756229408 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 38756229408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63182246400).

38756229408 is an abundant number, since it is smaller than the sum of its proper divisors (87608263392).

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

38756229408 is a wasteful number, since it uses less digits than its factorization.

38756229408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 38756229408 in words is "thirty-eight billion, seven hundred fifty-six million, two hundred twenty-nine thousand, four hundred eight".