38419920000 has 1800 divisors, whose sum is σ = 182685080655. Its totient is φ = 7983360000.

The previous prime is 38419919987. The next prime is 38419920001. The reversal of 38419920000 is 2991483.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38419920000 is a `hidden beast` number, since 38 + 419 + 9 + 200 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8882685504 + 29537234496 = 94248^2 + 171864^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=138600.

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

It is not an unprimeable number, because it can be changed into a prime (38419920001) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 3492719995 + ... + 3492720005.

Almost surely, 2^38419920000 is an apocalyptic number.

38419920000 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 38419920000

38419920000 is an abundant number, since it is smaller than the sum of its proper divisors (144265160655).

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

38419920000 is an equidigital number, since it uses as much as digits as its factorization.

38419920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 38419920000 in words is "thirty-eight billion, four hundred nineteen million, nine hundred twenty thousand".