38777440430304 has 144 divisors (see below), whose sum is σ = 112238209923840. Its totient is φ = 12695874197760.

The previous prime is 38777440430257. The next prime is 38777440430327. The reversal of 38777440430304 is 40303404477783.

It is a happy number.

38777440430304 is a `hidden beast` number, since 3 + 8 + 77 + 74 + 40 + 430 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18923209 + ... + 20872055.

It is an arithmetic number, because the mean of its divisors is an integer number (779432013360).

Almost surely, 2^{38777440430304} 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 38777440430304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56119104961920).

38777440430304 is an abundant number, since it is smaller than the sum of its proper divisors (73460769493536).

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

38777440430304 is a wasteful number, since it uses less digits than its factorization.

38777440430304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950093 (or 1950082 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 54.

The spelling of 38777440430304 in words is "thirty-eight trillion, seven hundred seventy-seven billion, four hundred forty million, four hundred thirty thousand, three hundred four".