32480365320 has 384 divisors, whose sum is σ = 118313395200. Its totient is φ = 7673702400.

The previous prime is 32480365301. The next prime is 32480365339. The reversal of 32480365320 is 2356308423.

It is a happy number.

32480365320 is a `hidden beast` number, since 324 + 8 + 0 + 3 + 6 + 5 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (32480365301) and next prime (32480365339).

It is a super-3 number, since 3×32480365320³ (a number of 33 digits) contains 333 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 19004626 + ... + 19006334.

It is an arithmetic number, because the mean of its divisors is an integer number (308107800).

Almost surely, 2^32480365320 is an apocalyptic number.

32480365320 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 32480365320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59156697600).

32480365320 is an abundant number, since it is smaller than the sum of its proper divisors (85833029880).

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

32480365320 is a wasteful number, since it uses less digits than its factorization.

32480365320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 32480365320 in words is "thirty-two billion, four hundred eighty million, three hundred sixty-five thousand, three hundred twenty".