38941034400 has 216 divisors, whose sum is σ = 141746177664. Its totient is φ = 10049241600.

The previous prime is 38941034359. The next prime is 38941034417. The reversal of 38941034400 is 443014983.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135967 + ... + 310433.

It is an arithmetic number, because the mean of its divisors is an integer number (656232304).

Almost surely, 2^38941034400 is an apocalyptic number.

38941034400 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 38941034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70873088832).

38941034400 is an abundant number, since it is smaller than the sum of its proper divisors (102805143264).

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

38941034400 is a wasteful number, since it uses less digits than its factorization.

38941034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174524 (or 174508 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38941034400 in words is "thirty-eight billion, nine hundred forty-one million, thirty-four thousand, four hundred".