38506464000 has 864 divisors, whose sum is σ = 151218063360. Its totient is φ = 9372672000.

The previous prime is 38506463993. The next prime is 38506464109. The reversal of 38506464000 is 46460583.

38506464000 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 6 + 4 + 640 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169631887 + ... + 169632113.

Almost surely, 2^38506464000 is an apocalyptic number.

38506464000 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 38506464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75609031680).

38506464000 is an abundant number, since it is smaller than the sum of its proper divisors (112711599360).

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

38506464000 is a wasteful number, since it uses less digits than its factorization.

38506464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 38506464000 in words is "thirty-eight billion, five hundred six million, four hundred sixty-four thousand".