38000246400 has 432 divisors, whose sum is σ = 140210716230. Its totient is φ = 9799372800.

The previous prime is 38000246371. The next prime is 38000246413. The reversal of 38000246400 is 464200083.

38000246400 is a `hidden beast` number, since 380 + 0 + 0 + 246 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36560499264 + 1439747136 = 191208^2 + 37944^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27676114 + ... + 27677486.

Almost surely, 2^38000246400 is an apocalyptic number.

38000246400 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 38000246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70105358115).

38000246400 is an abundant number, since it is smaller than the sum of its proper divisors (102210469830).

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

38000246400 is a wasteful number, since it uses less digits than its factorization.

38000246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 38000246400 its reverse (464200083), we get a palindrome (38464446483).

The spelling of 38000246400 in words is "thirty-eight billion, two hundred forty-six thousand, four hundred".