38243104549632 has 576 divisors, whose sum is σ = 117753237504000. Its totient is φ = 12233642803200.

The previous prime is 38243104549627. The next prime is 38243104549649. The reversal of 38243104549632 is 23694540134283.

38243104549632 is a `hidden beast` number, since 3 + 8 + 2 + 4 + 31 + 0 + 4 + 549 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6291015969 + ... + 6291022047.

It is an arithmetic number, because the mean of its divisors is an integer number (204432704000).

Almost surely, 2^{38243104549632} is an apocalyptic number.

38243104549632 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 38243104549632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58876618752000).

38243104549632 is an abundant number, since it is smaller than the sum of its proper divisors (79510132954368).

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

38243104549632 is a wasteful number, since it uses less digits than its factorization.

38243104549632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6505 (or 6485 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 38243104549632 in words is "thirty-eight trillion, two hundred forty-three billion, one hundred four million, five hundred forty-nine thousand, six hundred thirty-two".