38309117952 has 480 divisors, whose sum is σ = 125623959552. Its totient is φ = 10147332096.

The previous prime is 38309117939. The next prime is 38309117963. The reversal of 38309117952 is 25971190383.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371933133 + ... + 371933235.

Almost surely, 2^38309117952 is an apocalyptic number.

38309117952 is a gapful number since it is divisible by the number (32) 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 38309117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62811979776).

38309117952 is an abundant number, since it is smaller than the sum of its proper divisors (87314841600).

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

38309117952 is a wasteful number, since it uses less digits than its factorization.

38309117952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 38309117952 in words is "thirty-eight billion, three hundred nine million, one hundred seventeen thousand, nine hundred fifty-two".