38453548440384 has 896 divisors, whose sum is σ = 145966041661440. Its totient is φ = 9633941452800.

The previous prime is 38453548440379. The next prime is 38453548440413. The reversal of 38453548440384 is 48304484535483.

38453548440384 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 3 + 548 + 4 + 4 + 0 + 3 + 84 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 1266278769 + ... + 1266309135.

It is an arithmetic number, because the mean of its divisors is an integer number (162908528640).

Almost surely, 2^{38453548440384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38453548440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72983020830720).

38453548440384 is an abundant number, since it is smaller than the sum of its proper divisors (107512493221056).

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

38453548440384 is a wasteful number, since it uses less digits than its factorization.

38453548440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30744 (or 30728 counting only the distinct ones).

The product of its (nonzero) digits is 353894400, while the sum is 63.

The spelling of 38453548440384 in words is "thirty-eight trillion, four hundred fifty-three billion, five hundred forty-eight million, four hundred forty thousand, three hundred eighty-four".