38773344456 has 288 divisors, whose sum is σ = 141102168480. Its totient is φ = 9478425600.

The previous prime is 38773344437. The next prime is 38773344469. The reversal of 38773344456 is 65444337783.

38773344456 is a `hidden beast` number, since 3 + 87 + 73 + 3 + 44 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 630351 + ... + 689121.

It is an arithmetic number, because the mean of its divisors is an integer number (489938085).

Almost surely, 2^38773344456 is an apocalyptic number.

38773344456 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 38773344456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70551084240).

38773344456 is an abundant number, since it is smaller than the sum of its proper divisors (102328824024).

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

38773344456 is a wasteful number, since it uses less digits than its factorization.

38773344456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58825 (or 58811 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 54.

The spelling of 38773344456 in words is "thirty-eight billion, seven hundred seventy-three million, three hundred forty-four thousand, four hundred fifty-six".