38045064960 has 1440 divisors, whose sum is σ = 170950348800. Its totient is φ = 7882997760.

The previous prime is 38045064947. The next prime is 38045064971. The reversal of 38045064960 is 6946054083.

38045064960 is a `hidden beast` number, since 3 + 80 + 4 + 506 + 4 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 427472596 + ... + 427472684.

It is an arithmetic number, because the mean of its divisors is an integer number (118715520).

Almost surely, 2^38045064960 is an apocalyptic number.

38045064960 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 38045064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85475174400).

38045064960 is an abundant number, since it is smaller than the sum of its proper divisors (132905283840).

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

38045064960 is a wasteful number, since it uses less digits than its factorization.

38045064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 38045064960 in words is "thirty-eight billion, forty-five million, sixty-four thousand, nine hundred sixty".