38082723840 has 720 divisors, whose sum is σ = 155067075072. Its totient is φ = 8465154048.

The previous prime is 38082723779. The next prime is 38082723857. The reversal of 38082723840 is 4832728083.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242565042 + ... + 242565198.

Almost surely, 2^38082723840 is an apocalyptic number.

38082723840 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 38082723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77533537536).

38082723840 is an abundant number, since it is smaller than the sum of its proper divisors (116984351232).

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

38082723840 is a wasteful number, since it uses less digits than its factorization.

38082723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 38082723840 in words is "thirty-eight billion, eighty-two million, seven hundred twenty-three thousand, eight hundred forty".