38774570400 has 360 divisors, whose sum is σ = 142309579104. Its totient is φ = 10273651200.

The previous prime is 38774570399. The next prime is 38774570407. The reversal of 38774570400 is 407547783.

38774570400 is a `hidden beast` number, since 3 + 8 + 7 + 74 + 570 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (38774570407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10560565 + ... + 10564235.

Almost surely, 2^38774570400 is an apocalyptic number.

38774570400 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 38774570400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71154789552).

38774570400 is an abundant number, since it is smaller than the sum of its proper divisors (103535008704).

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

38774570400 is a wasteful number, since it uses less digits than its factorization.

38774570400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The spelling of 38774570400 in words is "thirty-eight billion, seven hundred seventy-four million, five hundred seventy thousand, four hundred".