38224628064 has 288 divisors, whose sum is σ = 126165102336. Its totient is φ = 10752537600.

The previous prime is 38224628063. The next prime is 38224628069. The reversal of 38224628064 is 46082642283.

38224628064 is a `hidden beast` number, since 38 + 22 + 462 + 80 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×38224628064² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38224628063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46220419 + ... + 46221245.

It is an arithmetic number, because the mean of its divisors is an integer number (438073272).

Almost surely, 2^38224628064 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 38224628064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63082551168).

38224628064 is an abundant number, since it is smaller than the sum of its proper divisors (87940474272).

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

38224628064 is a wasteful number, since it uses less digits than its factorization.

38224628064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 38224628064 in words is "thirty-eight billion, two hundred twenty-four million, six hundred twenty-eight thousand, sixty-four".