38086737920 has 256 divisors, whose sum is σ = 113999443200. Its totient is φ = 11867258880.

The previous prime is 38086737893. The next prime is 38086737943. The reversal of 38086737920 is 2973768083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12614171 + ... + 12617189.

It is an arithmetic number, because the mean of its divisors is an integer number (445310325).

Almost surely, 2^38086737920 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 38086737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56999721600).

38086737920 is an abundant number, since it is smaller than the sum of its proper divisors (75912705280).

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

38086737920 is an equidigital number, since it uses as much as digits as its factorization.

38086737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072 (or 3044 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 38086737920 in words is "thirty-eight billion, eighty-six million, seven hundred thirty-seven thousand, nine hundred twenty".