38761390080 has 560 divisors, whose sum is σ = 158904614880. Its totient is φ = 8854437888.

The previous prime is 38761390079. The next prime is 38761390123. The reversal of 38761390080 is 8009316783.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23223486 + ... + 23225154.

Almost surely, 2^38761390080 is an apocalyptic number.

38761390080 is a gapful number since it is divisible by the number (30) 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 38761390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79452307440).

38761390080 is an abundant number, since it is smaller than the sum of its proper divisors (120143224800).

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

38761390080 is an equidigital number, since it uses as much as digits as its factorization.

38761390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 38761390080 in words is "thirty-eight billion, seven hundred sixty-one million, three hundred ninety thousand, eighty".