38145654000 has 880 divisors, whose sum is σ = 154202050080. Its totient is φ = 9069926400.

The previous prime is 38145653989. The next prime is 38145654007. The reversal of 38145654000 is 45654183.

It is a happy number.

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 (38145654007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 2007665991 + ... + 2007666009.

Almost surely, 2^38145654000 is an apocalyptic number.

38145654000 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 38145654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77101025040).

38145654000 is an abundant number, since it is smaller than the sum of its proper divisors (116056396080).

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

38145654000 is an equidigital number, since it uses as much as digits as its factorization.

38145654000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 46 counting only the distinct ones).

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

The spelling of 38145654000 in words is "thirty-eight billion, one hundred forty-five million, six hundred fifty-four thousand".