38228236986240 has 5376 divisors, whose sum is σ = 184479540940800. Its totient is φ = 7494580961280.

The previous prime is 38228236986167. The next prime is 38228236986241. The reversal of 38228236986240 is 4268963282283.

38228236986240 is a `hidden beast` number, since 3 + 8 + 2 + 28 + 2 + 369 + 8 + 6 + 240 = 666.

It is a super-2 number, since 2×38228236986240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38228236986241) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 228911598637 + ... + 228911598803.

It is an arithmetic number, because the mean of its divisors is an integer number (34315390800).

Almost surely, 2^{38228236986240} is an apocalyptic number.

38228236986240 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 38228236986240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92239770470400).

38228236986240 is an abundant number, since it is smaller than the sum of its proper divisors (146251303954560).

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

38228236986240 is a wasteful number, since it uses less digits than its factorization.

38228236986240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 38228236986240 in words is "thirty-eight trillion, two hundred twenty-eight billion, two hundred thirty-six million, nine hundred eighty-six thousand, two hundred forty".