38477327616000 has 3456 divisors, whose sum is σ = 180363661994880. Its totient is φ = 8109932544000.

The previous prime is 38477327615963. The next prime is 38477327616041. The reversal of 38477327616000 is 61672377483.

38477327616000 is a `hidden beast` number, since 3 + 8 + 4 + 7 + 7 + 3 + 27 + 6 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39626495515 + ... + 39626496485.

It is an arithmetic number, because the mean of its divisors is an integer number (52188559605).

Almost surely, 2^{38477327616000} is an apocalyptic number.

38477327616000 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 38477327616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90181830997440).

38477327616000 is an abundant number, since it is smaller than the sum of its proper divisors (141886334378880).

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

38477327616000 is an equidigital number, since it uses as much as digits as its factorization.

38477327616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 38477327616000 in words is "thirty-eight trillion, four hundred seventy-seven billion, three hundred twenty-seven million, six hundred sixteen thousand".