38781200640 has 432 divisors, whose sum is σ = 153295486848. Its totient is φ = 8181448704.

The previous prime is 38781200621. The next prime is 38781200671. The reversal of 38781200640 is 4600218783.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 4538452 + ... + 4546988.

It is an arithmetic number, because the mean of its divisors is an integer number (354850664).

Almost surely, 2^38781200640 is an apocalyptic number.

38781200640 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 38781200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76647743424).

38781200640 is an abundant number, since it is smaller than the sum of its proper divisors (114514286208).

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

38781200640 is a wasteful number, since it uses less digits than its factorization.

38781200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8594 (or 8567 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 38781200640 in words is "thirty-eight billion, seven hundred eighty-one million, two hundred thousand, six hundred forty".