38302709760 has 672 divisors, whose sum is σ = 157692618720. Its totient is φ = 8742961152.

The previous prime is 38302709759. The next prime is 38302709821. The reversal of 38302709760 is 6790720383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52254354 + ... + 52255086.

It is an arithmetic number, because the mean of its divisors is an integer number (234661635).

Almost surely, 2^38302709760 is an apocalyptic number.

38302709760 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 38302709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78846309360).

38302709760 is an abundant number, since it is smaller than the sum of its proper divisors (119389908960).

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

38302709760 is an frugal number, since it uses more digits than its factorization.

38302709760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 38302709760 in words is "thirty-eight billion, three hundred two million, seven hundred nine thousand, seven hundred sixty".