38912346000 has 640 divisors, whose sum is σ = 153715161600. Its totient is φ = 9331200000.

The previous prime is 38912345951. The next prime is 38912346023. The reversal of 38912346000 is 64321983.

38912346000 is a `hidden beast` number, since 3 + 8 + 9 + 12 + 34 + 600 + 0 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64745700 + ... + 64746300.

It is an arithmetic number, because the mean of its divisors is an integer number (240179940).

Almost surely, 2^38912346000 is an apocalyptic number.

38912346000 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 38912346000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76857580800).

38912346000 is an abundant number, since it is smaller than the sum of its proper divisors (114802815600).

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

38912346000 is a wasteful number, since it uses less digits than its factorization.

38912346000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 731 counting only the distinct ones).

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

Adding to 38912346000 its reverse (64321983), we get a palindrome (38976667983).

The spelling of 38912346000 in words is "thirty-eight billion, nine hundred twelve million, three hundred forty-six thousand".