38777216000 has 176 divisors, whose sum is σ = 97094810592. Its totient is φ = 15454208000.

The previous prime is 38777215993. The next prime is 38777216021. The reversal of 38777216000 is 61277783.

It is a super-3 number, since 3×38777216000³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 62847692 + ... + 62848308.

Almost surely, 2^38777216000 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 38777216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48547405296).

38777216000 is an abundant number, since it is smaller than the sum of its proper divisors (58317594592).

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

38777216000 is an equidigital number, since it uses as much as digits as its factorization.

38777216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 41.

The spelling of 38777216000 in words is "thirty-eight billion, seven hundred seventy-seven million, two hundred sixteen thousand".