38341296000 has 1024 divisors, whose sum is σ = 167012352000. Its totient is φ = 8460288000.

The previous prime is 38341295999. The next prime is 38341296013. The reversal of 38341296000 is 69214383.

38341296000 is a `hidden beast` number, since 3 + 8 + 3 + 41 + 2 + 9 + 600 + 0 = 666.

38341296000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93743796 + ... + 93744204.

It is an arithmetic number, because the mean of its divisors is an integer number (163098000).

Almost surely, 2^38341296000 is an apocalyptic number.

38341296000 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 38341296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83506176000).

38341296000 is an abundant number, since it is smaller than the sum of its proper divisors (128671056000).

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

38341296000 is a wasteful number, since it uses less digits than its factorization.

38341296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 38341296000 in words is "thirty-eight billion, three hundred forty-one million, two hundred ninety-six thousand".