38022681600 has 396 divisors, whose sum is σ = 136927006944. Its totient is φ = 10080829440.

The previous prime is 38022681577. The next prime is 38022681623. The reversal of 38022681600 is 618622083.

38022681600 is a `hidden beast` number, since 380 + 2 + 268 + 16 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38022681577) and next prime (38022681623).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52300437 + ... + 52301163.

Almost surely, 2^38022681600 is an apocalyptic number.

38022681600 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 38022681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68463503472).

38022681600 is an abundant number, since it is smaller than the sum of its proper divisors (98904325344).

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

38022681600 is a wasteful number, since it uses less digits than its factorization.

38022681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 38022681600 in words is "thirty-eight billion, twenty-two million, six hundred eighty-one thousand, six hundred".