38164573440 has 1152 divisors, whose sum is σ = 170479411200. Its totient is φ = 7904894976.

The previous prime is 38164573439. The next prime is 38164573441. The reversal of 38164573440 is 4437546183.

38164573440 is a `hidden beast` number, since 3 + 81 + 64 + 5 + 73 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (38164573439) and next prime (38164573441).

It is a tau number, because it is divible by the number of its divisors (1152).

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 (38164573441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1659329269 + ... + 1659329291.

It is an arithmetic number, because the mean of its divisors is an integer number (147985600).

Almost surely, 2^38164573440 is an apocalyptic number.

38164573440 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 38164573440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85239705600).

38164573440 is an abundant number, since it is smaller than the sum of its proper divisors (132314837760).

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

38164573440 is an equidigital number, since it uses as much as digits as its factorization.

38164573440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 38164573440 in words is "thirty-eight billion, one hundred sixty-four million, five hundred seventy-three thousand, four hundred forty".