38844800640 has 640 divisors, whose sum is σ = 143957088000. Its totient is φ = 9976061952.

The previous prime is 38844800611. The next prime is 38844800653. The reversal of 38844800640 is 4600844883.

38844800640 is a `hidden beast` number, since 38 + 84 + 480 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×38844800640² (a number of 22 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 260703286 + ... + 260703434.

It is an arithmetic number, because the mean of its divisors is an integer number (224932950).

Almost surely, 2^38844800640 is an apocalyptic number.

38844800640 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 38844800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71978544000).

38844800640 is an abundant number, since it is smaller than the sum of its proper divisors (105112287360).

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

38844800640 is a wasteful number, since it uses less digits than its factorization.

38844800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 38844800640 in words is "thirty-eight billion, eight hundred forty-four million, eight hundred thousand, six hundred forty".