38655144000 has 1680 divisors, whose sum is σ = 172170638640. Its totient is φ = 8515584000.

The previous prime is 38655143993. The next prime is 38655144001. The reversal of 38655144000 is 44155683.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7181545536 + 31473598464 = 84744^2 + 177408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38655144001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1332935986 + ... + 1332936014.

It is an arithmetic number, because the mean of its divisors is an integer number (102482523).

Almost surely, 2^38655144000 is an apocalyptic number.

38655144000 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 38655144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86085319320).

38655144000 is an abundant number, since it is smaller than the sum of its proper divisors (133515494640).

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

38655144000 is a wasteful number, since it uses less digits than its factorization.

38655144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 38655144000 its reverse (44155683), we get a palindrome (38699299683).

The spelling of 38655144000 in words is "thirty-eight billion, six hundred fifty-five million, one hundred forty-four thousand".