38782423680 has 1024 divisors, whose sum is σ = 175889387520. Its totient is φ = 6995312640.

The previous prime is 38782423651. The next prime is 38782423703. The reversal of 38782423680 is 8632428783.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32672047 + ... + 32673233.

It is an arithmetic number, because the mean of its divisors is an integer number (171766980).

Almost surely, 2^38782423680 is an apocalyptic number.

38782423680 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 38782423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87944693760).

38782423680 is an abundant number, since it is smaller than the sum of its proper divisors (137106963840).

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

38782423680 is a wasteful number, since it uses less digits than its factorization.

38782423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 38782423680 in words is "thirty-eight billion, seven hundred eighty-two million, four hundred twenty-three thousand, six hundred eighty".