38363251782800 has 120 divisors (see below), whose sum is σ = 105397729369536. Its totient is φ = 13145223006720.

The previous prime is 38363251782797. The next prime is 38363251782827. The reversal of 38363251782800 is 828715236383.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 558074 + ... + 8777126.

Almost surely, 2^{38363251782800} 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 38363251782800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52698864684768).

38363251782800 is an abundant number, since it is smaller than the sum of its proper divisors (67034477586736).

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

38363251782800 is a wasteful number, since it uses less digits than its factorization.

38363251782800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220745 (or 8220734 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 56.

The spelling of 38363251782800 in words is "thirty-eight trillion, three hundred sixty-three billion, two hundred fifty-one million, seven hundred eighty-two thousand, eight hundred".