38454579072 has 864 divisors, whose sum is σ = 145230813000. Its totient is φ = 9721700352.

The previous prime is 38454579067. The next prime is 38454579077. The reversal of 38454579072 is 27097545483.

It is a happy number.

38454579072 is a `hidden beast` number, since 3 + 8 + 4 + 545 + 7 + 90 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (38454579067) and next prime (38454579077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38454579077) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 276651579 + ... + 276651717.

Almost surely, 2^38454579072 is an apocalyptic number.

38454579072 is a gapful number since it is divisible by the number (32) 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 38454579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72615406500).

38454579072 is an abundant number, since it is smaller than the sum of its proper divisors (106776233928).

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

38454579072 is a wasteful number, since it uses less digits than its factorization.

38454579072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 38454579072 in words is "thirty-eight billion, four hundred fifty-four million, five hundred seventy-nine thousand, seventy-two".