38742782400 has 1008 divisors, whose sum is σ = 174051431424. Its totient is φ = 7964098560.

The previous prime is 38742782369. The next prime is 38742782401. The reversal of 38742782400 is 428724783.

38742782400 is a `hidden beast` number, since 387 + 4 + 27 + 8 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38742782401) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 39412309 + ... + 39413291.

Almost surely, 2^38742782400 is an apocalyptic number.

38742782400 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 38742782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87025715712).

38742782400 is an abundant number, since it is smaller than the sum of its proper divisors (135308649024).

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

38742782400 is a wasteful number, since it uses less digits than its factorization.

38742782400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 38742782400 in words is "thirty-eight billion, seven hundred forty-two million, seven hundred eighty-two thousand, four hundred".