38873226240 has 704 divisors, whose sum is σ = 146393579520. Its totient is φ = 9767485440.

The previous prime is 38873226221. The next prime is 38873226241. The reversal of 38873226240 is 4262237883.

38873226240 is a `hidden beast` number, since 3 + 8 + 87 + 322 + 6 + 240 = 666.

It is a super-2 number, since 2×38873226240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38873226241) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 201415584 + ... + 201415776.

Almost surely, 2^38873226240 is an apocalyptic number.

38873226240 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 38873226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73196789760).

38873226240 is an abundant number, since it is smaller than the sum of its proper divisors (107520353280).

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

38873226240 is a wasteful number, since it uses less digits than its factorization.

38873226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 38873226240 in words is "thirty-eight billion, eight hundred seventy-three million, two hundred twenty-six thousand, two hundred forty".