32348252160 has 576 divisors, whose sum is σ = 131361834240. Its totient is φ = 7207649280.

The previous prime is 32348252117. The next prime is 32348252161. The reversal of 32348252160 is 6125284323.

32348252160 is a `hidden beast` number, since 3 + 2 + 348 + 252 + 1 + 60 = 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32348252161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26449309 + ... + 26450531.

It is an arithmetic number, because the mean of its divisors is an integer number (228058740).

Almost surely, 2^32348252160 is an apocalyptic number.

32348252160 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 32348252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65680917120).

32348252160 is an abundant number, since it is smaller than the sum of its proper divisors (99013582080).

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

32348252160 is a wasteful number, since it uses less digits than its factorization.

32348252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1281 counting only the distinct ones).

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

The spelling of 32348252160 in words is "thirty-two billion, three hundred forty-eight million, two hundred fifty-two thousand, one hundred sixty".