38614732416 has 192 divisors, whose sum is σ = 126705426120. Its totient is φ = 11182473216.

The previous prime is 38614732369. The next prime is 38614732423. The reversal of 38614732416 is 61423741683.

38614732416 is a `hidden beast` number, since 3 + 8 + 614 + 7 + 3 + 24 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34337572416 + 4277160000 = 185304^2 + 65400^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 178756 + ... + 330428.

Almost surely, 2^38614732416 is an apocalyptic number.

38614732416 is a gapful number since it is divisible by the number (36) 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 38614732416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63352713060).

38614732416 is an abundant number, since it is smaller than the sum of its proper divisors (88090693704).

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

38614732416 is a wasteful number, since it uses less digits than its factorization.

38614732416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151723 (or 151708 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 38614732416 in words is "thirty-eight billion, six hundred fourteen million, seven hundred thirty-two thousand, four hundred sixteen".