38148408000 has 560 divisors, whose sum is σ = 149473456704. Its totient is φ = 9571737600.

The previous prime is 38148407989. The next prime is 38148408007. The reversal of 38148408000 is 80484183.

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 (38148408007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11014269 + ... + 11017731.

Almost surely, 2^38148408000 is an apocalyptic number.

38148408000 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 38148408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74736728352).

38148408000 is an abundant number, since it is smaller than the sum of its proper divisors (111325048704).

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

38148408000 is a wasteful number, since it uses less digits than its factorization.

38148408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3519 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 38148408000 in words is "thirty-eight billion, one hundred forty-eight million, four hundred eight thousand".