38412000 has 288 divisors, whose sum is σ = 150250464. Its totient is φ = 9216000.

The previous prime is 38411983. The next prime is 38412041. The reversal of 38412000 is 21483.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 395952 + ... + 396048.

It is an arithmetic number, because the mean of its divisors is an integer number (521703).

Almost surely, 2^38412000 is an apocalyptic number.

38412000 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 38412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75125232).

38412000 is an abundant number, since it is smaller than the sum of its proper divisors (111838464).

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

38412000 is a wasteful number, since it uses less digits than its factorization.

38412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 38412000 is about 6197.7415241360. The cubic root of 38412000 is about 337.4082054883.

Adding to 38412000 its reverse (21483), we get a palindrome (38433483).

The spelling of 38412000 in words is "thirty-eight million, four hundred twelve thousand".