38649042432 has 1600 divisors, whose sum is σ = 166364352000. Its totient is φ = 8778792960.

The previous prime is 38649042431. The next prime is 38649042449. The reversal of 38649042432 is 23424094683.

38649042432 is a `hidden beast` number, since 3 + 86 + 490 + 42 + 43 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38649042431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2034160119 + ... + 2034160137.

It is an arithmetic number, because the mean of its divisors is an integer number (103977720).

Almost surely, 2^38649042432 is an apocalyptic number.

38649042432 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 38649042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83182176000).

38649042432 is an abundant number, since it is smaller than the sum of its proper divisors (127715309568).

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

38649042432 is a wasteful number, since it uses less digits than its factorization.

38649042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 38649042432 in words is "thirty-eight billion, six hundred forty-nine million, forty-two thousand, four hundred thirty-two".