38152261224 has 576 divisors, whose sum is σ = 140024102400. Its totient is φ = 9590011200.

The previous prime is 38152261219. The next prime is 38152261229. The reversal of 38152261224 is 42216225183.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

38152261224 is a `hidden beast` number, since 3 + 8 + 1 + 522 + 6 + 122 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38152261219) and next prime (38152261229).

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

Its product of digits (46080) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (38152261229) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1230718089 + ... + 1230718119.

It is an arithmetic number, because the mean of its divisors is an integer number (243097400).

Almost surely, 2^38152261224 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 38152261224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70012051200).

38152261224 is an abundant number, since it is smaller than the sum of its proper divisors (101871841176).

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

38152261224 is a wasteful number, since it uses less digits than its factorization.

38152261224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 54 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 38152261224 in words is "thirty-eight billion, one hundred fifty-two million, two hundred sixty-one thousand, two hundred twenty-four".