38425772642400 has 1728 divisors, whose sum is σ = 169124141362176. Its totient is φ = 8065474560000.

The previous prime is 38425772642399. The next prime is 38425772642407. The reversal of 38425772642400 is 424627752483.

38425772642400 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 577 + 2 + 64 + 2 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38425772642407) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 5373478825 + ... + 5373485975.

It is an arithmetic number, because the mean of its divisors is an integer number (97872766992).

Almost surely, 2^{38425772642400} is an apocalyptic number.

38425772642400 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 38425772642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84562070681088).

38425772642400 is an abundant number, since it is smaller than the sum of its proper divisors (130698368719776).

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

38425772642400 is a wasteful number, since it uses less digits than its factorization.

38425772642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7525 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 54.

The spelling of 38425772642400 in words is "thirty-eight trillion, four hundred twenty-five billion, seven hundred seventy-two million, six hundred forty-two thousand, four hundred".