38573424000 has 384 divisors, whose sum is σ = 143011964160. Its totient is φ = 9953280000.

The previous prime is 38573423957. The next prime is 38573424011. The reversal of 38573424000 is 42437583.

It is a happy number.

38573424000 is a `hidden beast` number, since 3 + 8 + 573 + 42 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4459680 + ... + 4468320.

It is an arithmetic number, because the mean of its divisors is an integer number (372426990).

Almost surely, 2^38573424000 is an apocalyptic number.

38573424000 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 38573424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71505982080).

38573424000 is an abundant number, since it is smaller than the sum of its proper divisors (104438540160).

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

38573424000 is a wasteful number, since it uses less digits than its factorization.

38573424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 38573424000 in words is "thirty-eight billion, five hundred seventy-three million, four hundred twenty-four thousand".